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Finding the Fourth Proportional to 77,899.92, 107,509.92 and 47,705.28

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Solution

The fourth proportional to 77,899.92, 107,509.92 and 47,705.28 is: 65,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,899.92 : 107,509.92 = 47,705.28 : x
  2. Step 2: Convert to fraction form
    77,899.92/107,509.92 = 47,705.28/x
  3. Step 3: Cross multiply
    77,899.92x = 107,509.92 × 47,705.28
  4. Step 4: Simplify right side
    77,899.92x = 5,128,790,836.38
  5. Step 5: Solve for x
    x = 5,128,790,836.38/77,899.92
  6. Step 6: Final answer
    x = 65,838.20

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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.