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Finding the Fourth Proportional to 84,732.54, 116,931.04 and 47,006.78

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Solution

The fourth proportional to 84,732.54, 116,931.04 and 47,006.78 is: 64,869.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,732.54 : 116,931.04 = 47,006.78 : x
  2. Step 2: Convert to fraction form
    84,732.54/116,931.04 = 47,006.78/x
  3. Step 3: Cross multiply
    84,732.54x = 116,931.04 × 47,006.78
  4. Step 4: Simplify right side
    84,732.54x = 5,496,551,672.45
  5. Step 5: Solve for x
    x = 5,496,551,672.45/84,732.54
  6. Step 6: Final answer
    x = 64,869.43

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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.