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Finding the Fourth Proportional to 48,582, 72,873 and 13,522.57

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Solution

The fourth proportional to 48,582, 72,873 and 13,522.57 is: 20,283.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,582 : 72,873 = 13,522.57 : x
  2. Step 2: Convert to fraction form
    48,582/72,873 = 13,522.57/x
  3. Step 3: Cross multiply
    48,582x = 72,873 × 13,522.57
  4. Step 4: Simplify right side
    48,582x = 985,430,061.43
  5. Step 5: Solve for x
    x = 985,430,061.43/48,582
  6. Step 6: Final answer
    x = 20,283.85

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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.