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Finding the Fourth Proportional to 53,762,471.80, 80,643,707.70 and 31,087,655.80

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Solution

The fourth proportional to 53,762,471.80, 80,643,707.70 and 31,087,655.80 is: 46,631,483.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,762,471.80 : 80,643,707.70 = 31,087,655.80 : x
  2. Step 2: Convert to fraction form
    53,762,471.80/80,643,707.70 = 31,087,655.80/x
  3. Step 3: Cross multiply
    53,762,471.80x = 80,643,707.70 × 31,087,655.80
  4. Step 4: Simplify right side
    53,762,471.80x = 2,507,023,827,413,410
  5. Step 5: Solve for x
    x = 2,507,023,827,413,410/53,762,471.80
  6. Step 6: Final answer
    x = 46,631,483.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.