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Finding the Fourth Proportional to 47,654.92, 71,455.02 and 18,053.89

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Solution

The fourth proportional to 47,654.92, 71,455.02 and 18,053.89 is: 27,070.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,654.92 : 71,455.02 = 18,053.89 : x
  2. Step 2: Convert to fraction form
    47,654.92/71,455.02 = 18,053.89/x
  3. Step 3: Cross multiply
    47,654.92x = 71,455.02 × 18,053.89
  4. Step 4: Simplify right side
    47,654.92x = 1,290,041,071.03
  5. Step 5: Solve for x
    x = 1,290,041,071.03/47,654.92
  6. Step 6: Final answer
    x = 27,070.47

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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.