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Finding the Fourth Proportional to 47,496.98, 71,269.78 and 19,437.78

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Solution

The fourth proportional to 47,496.98, 71,269.78 and 19,437.78 is: 29,166.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,496.98 : 71,269.78 = 19,437.78 : x
  2. Step 2: Convert to fraction form
    47,496.98/71,269.78 = 19,437.78/x
  3. Step 3: Cross multiply
    47,496.98x = 71,269.78 × 19,437.78
  4. Step 4: Simplify right side
    47,496.98x = 1,385,326,304.29
  5. Step 5: Solve for x
    x = 1,385,326,304.29/47,496.98
  6. Step 6: Final answer
    x = 29,166.62

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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.