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Finding the Fourth Proportional to 78,656.88, 108,471 and 53,166.96

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Solution

The fourth proportional to 78,656.88, 108,471 and 53,166.96 is: 73,319.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,656.88 : 108,471 = 53,166.96 : x
  2. Step 2: Convert to fraction form
    78,656.88/108,471 = 53,166.96/x
  3. Step 3: Cross multiply
    78,656.88x = 108,471 × 53,166.96
  4. Step 4: Simplify right side
    78,656.88x = 5,767,073,318.16
  5. Step 5: Solve for x
    x = 5,767,073,318.16/78,656.88
  6. Step 6: Final answer
    x = 73,319.38

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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.