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Finding the Fourth Proportional to 52,424, 78,648.96 and 15,488

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Solution

The fourth proportional to 52,424, 78,648.96 and 15,488 is: 23,235.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,424 : 78,648.96 = 15,488 : x
  2. Step 2: Convert to fraction form
    52,424/78,648.96 = 15,488/x
  3. Step 3: Cross multiply
    52,424x = 78,648.96 × 15,488
  4. Step 4: Simplify right side
    52,424x = 1,218,115,092.48
  5. Step 5: Solve for x
    x = 1,218,115,092.48/52,424
  6. Step 6: Final answer
    x = 23,235.83

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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.