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Finding the Fourth Proportional to 59,374, 89,099.88 and 22,438

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Solution

The fourth proportional to 59,374, 89,099.88 and 22,438 is: 33,671.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,374 : 89,099.88 = 22,438 : x
  2. Step 2: Convert to fraction form
    59,374/89,099.88 = 22,438/x
  3. Step 3: Cross multiply
    59,374x = 89,099.88 × 22,438
  4. Step 4: Simplify right side
    59,374x = 1,999,223,107.44
  5. Step 5: Solve for x
    x = 1,999,223,107.44/59,374
  6. Step 6: Final answer
    x = 33,671.69

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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.