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Finding the Fourth Proportional to 56,142.48, 84,264.72 and 29,869.20

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Solution

The fourth proportional to 56,142.48, 84,264.72 and 29,869.20 is: 44,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,142.48 : 84,264.72 = 29,869.20 : x
  2. Step 2: Convert to fraction form
    56,142.48/84,264.72 = 29,869.20/x
  3. Step 3: Cross multiply
    56,142.48x = 84,264.72 × 29,869.20
  4. Step 4: Simplify right side
    56,142.48x = 2,516,919,774.62
  5. Step 5: Solve for x
    x = 2,516,919,774.62/56,142.48
  6. Step 6: Final answer
    x = 44,830.93

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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.