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Finding the Fourth Proportional to 47,801.79, 71,702.67 and 22,765.93

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Solution

The fourth proportional to 47,801.79, 71,702.67 and 22,765.93 is: 34,148.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,801.79 : 71,702.67 = 22,765.93 : x
  2. Step 2: Convert to fraction form
    47,801.79/71,702.67 = 22,765.93/x
  3. Step 3: Cross multiply
    47,801.79x = 71,702.67 × 22,765.93
  4. Step 4: Simplify right side
    47,801.79x = 1,632,377,966.03
  5. Step 5: Solve for x
    x = 1,632,377,966.03/47,801.79
  6. Step 6: Final answer
    x = 34,148.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.