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Finding the Fourth Proportional to 59,200, 88,800 and 15,424

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Solution

The fourth proportional to 59,200, 88,800 and 15,424 is: 23,136

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,200 : 88,800 = 15,424 : x
  2. Step 2: Convert to fraction form
    59,200/88,800 = 15,424/x
  3. Step 3: Cross multiply
    59,200x = 88,800 × 15,424
  4. Step 4: Simplify right side
    59,200x = 1,369,651,200
  5. Step 5: Solve for x
    x = 1,369,651,200/59,200
  6. Step 6: Final answer
    x = 23,136

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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.