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Finding the Fourth Proportional to 48,414, 72,621 and 15,582

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Solution

The fourth proportional to 48,414, 72,621 and 15,582 is: 23,373

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,414 : 72,621 = 15,582 : x
  2. Step 2: Convert to fraction form
    48,414/72,621 = 15,582/x
  3. Step 3: Cross multiply
    48,414x = 72,621 × 15,582
  4. Step 4: Simplify right side
    48,414x = 1,131,580,422
  5. Step 5: Solve for x
    x = 1,131,580,422/48,414
  6. Step 6: Final answer
    x = 23,373

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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.