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Finding the Fourth Proportional to 71,807.10, 99,107.55 and 47,565.42

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Solution

The fourth proportional to 71,807.10, 99,107.55 and 47,565.42 is: 65,649.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,807.10 : 99,107.55 = 47,565.42 : x
  2. Step 2: Convert to fraction form
    71,807.10/99,107.55 = 47,565.42/x
  3. Step 3: Cross multiply
    71,807.10x = 99,107.55 × 47,565.42
  4. Step 4: Simplify right side
    71,807.10x = 4,714,092,240.92
  5. Step 5: Solve for x
    x = 4,714,092,240.92/71,807.10
  6. Step 6: Final answer
    x = 65,649.39

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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.