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Finding the Fourth Proportional to 78,210.92, 107,932.42 and 44,677.16

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Solution

The fourth proportional to 78,210.92, 107,932.42 and 44,677.16 is: 61,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,210.92 : 107,932.42 = 44,677.16 : x
  2. Step 2: Convert to fraction form
    78,210.92/107,932.42 = 44,677.16/x
  3. Step 3: Cross multiply
    78,210.92x = 107,932.42 × 44,677.16
  4. Step 4: Simplify right side
    78,210.92x = 4,822,113,997.53
  5. Step 5: Solve for x
    x = 4,822,113,997.53/78,210.92
  6. Step 6: Final answer
    x = 61,655.25

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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.