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Finding the Fourth Proportional to 87,140.72, 130,653.72 and 57,468.08

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Solution

The fourth proportional to 87,140.72, 130,653.72 and 57,468.08 is: 86,164.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,140.72 : 130,653.72 = 57,468.08 : x
  2. Step 2: Convert to fraction form
    87,140.72/130,653.72 = 57,468.08/x
  3. Step 3: Cross multiply
    87,140.72x = 130,653.72 × 57,468.08
  4. Step 4: Simplify right side
    87,140.72x = 7,508,418,433.26
  5. Step 5: Solve for x
    x = 7,508,418,433.26/87,140.72
  6. Step 6: Final answer
    x = 86,164.29

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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.