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Finding the Fourth Proportional to 47,841.77, 71,766.30 and 14,564.68

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Solution

The fourth proportional to 47,841.77, 71,766.30 and 14,564.68 is: 21,848.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,841.77 : 71,766.30 = 14,564.68 : x
  2. Step 2: Convert to fraction form
    47,841.77/71,766.30 = 14,564.68/x
  3. Step 3: Cross multiply
    47,841.77x = 71,766.30 × 14,564.68
  4. Step 4: Simplify right side
    47,841.77x = 1,045,253,194.28
  5. Step 5: Solve for x
    x = 1,045,253,194.28/47,841.77
  6. Step 6: Final answer
    x = 21,848.13

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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.