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Finding the Fourth Proportional to 53,362.88, 73,649.92 and 31,019.84

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Solution

The fourth proportional to 53,362.88, 73,649.92 and 31,019.84 is: 42,812.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,362.88 : 73,649.92 = 31,019.84 : x
  2. Step 2: Convert to fraction form
    53,362.88/73,649.92 = 31,019.84/x
  3. Step 3: Cross multiply
    53,362.88x = 73,649.92 × 31,019.84
  4. Step 4: Simplify right side
    53,362.88x = 2,284,608,734.41
  5. Step 5: Solve for x
    x = 2,284,608,734.41/53,362.88
  6. Step 6: Final answer
    x = 42,812.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.