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Finding the Fourth Proportional to 57,790.94, 86,713.90 and 40,048.90

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Solution

The fourth proportional to 57,790.94, 86,713.90 and 40,048.90 is: 60,092.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,790.94 : 86,713.90 = 40,048.90 : x
  2. Step 2: Convert to fraction form
    57,790.94/86,713.90 = 40,048.90/x
  3. Step 3: Cross multiply
    57,790.94x = 86,713.90 × 40,048.90
  4. Step 4: Simplify right side
    57,790.94x = 3,472,796,309.71
  5. Step 5: Solve for x
    x = 3,472,796,309.71/57,790.94
  6. Step 6: Final answer
    x = 60,092.40

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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.