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Finding the Fourth Proportional to 47,654.30, 71,458.36 and 14,368.16

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Solution

The fourth proportional to 47,654.30, 71,458.36 and 14,368.16 is: 21,545.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,654.30 : 71,458.36 = 14,368.16 : x
  2. Step 2: Convert to fraction form
    47,654.30/71,458.36 = 14,368.16/x
  3. Step 3: Cross multiply
    47,654.30x = 71,458.36 × 14,368.16
  4. Step 4: Simplify right side
    47,654.30x = 1,026,725,149.82
  5. Step 5: Solve for x
    x = 1,026,725,149.82/47,654.30
  6. Step 6: Final answer
    x = 21,545.28

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