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Finding the Fourth Proportional to 84,574.80, 116,737.92 and 52,318.92

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Solution

The fourth proportional to 84,574.80, 116,737.92 and 52,318.92 is: 72,215.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,574.80 : 116,737.92 = 52,318.92 : x
  2. Step 2: Convert to fraction form
    84,574.80/116,737.92 = 52,318.92/x
  3. Step 3: Cross multiply
    84,574.80x = 116,737.92 × 52,318.92
  4. Step 4: Simplify right side
    84,574.80x = 6,107,601,897.45
  5. Step 5: Solve for x
    x = 6,107,601,897.45/84,574.80
  6. Step 6: Final answer
    x = 72,215.39

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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.