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Finding the Fourth Proportional to 84,737.76, 116,952 and 47,024.16

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Solution

The fourth proportional to 84,737.76, 116,952 and 47,024.16 is: 64,901.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,737.76 : 116,952 = 47,024.16 : x
  2. Step 2: Convert to fraction form
    84,737.76/116,952 = 47,024.16/x
  3. Step 3: Cross multiply
    84,737.76x = 116,952 × 47,024.16
  4. Step 4: Simplify right side
    84,737.76x = 5,499,569,560.32
  5. Step 5: Solve for x
    x = 5,499,569,560.32/84,737.76
  6. Step 6: Final answer
    x = 64,901.05

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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.