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Finding the Fourth Proportional to 47,870.65, 71,805.98 and 47,801.46

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Solution

The fourth proportional to 47,870.65, 71,805.98 and 47,801.46 is: 71,702.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,870.65 : 71,805.98 = 47,801.46 : x
  2. Step 2: Convert to fraction form
    47,870.65/71,805.98 = 47,801.46/x
  3. Step 3: Cross multiply
    47,870.65x = 71,805.98 × 47,801.46
  4. Step 4: Simplify right side
    47,870.65x = 3,432,430,680.73
  5. Step 5: Solve for x
    x = 3,432,430,680.73/47,870.65
  6. Step 6: Final answer
    x = 71,702.19

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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.