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Finding the Fourth Proportional to 73,471.86, 101,448.38 and 56,449.10

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Solution

The fourth proportional to 73,471.86, 101,448.38 and 56,449.10 is: 77,943.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,471.86 : 101,448.38 = 56,449.10 : x
  2. Step 2: Convert to fraction form
    73,471.86/101,448.38 = 56,449.10/x
  3. Step 3: Cross multiply
    73,471.86x = 101,448.38 × 56,449.10
  4. Step 4: Simplify right side
    73,471.86x = 5,726,670,142.20
  5. Step 5: Solve for x
    x = 5,726,670,142.20/73,471.86
  6. Step 6: Final answer
    x = 77,943.72

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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.