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Finding the Fourth Proportional to 48,531.75, 72,798.03 and 13,474.14

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Solution

The fourth proportional to 48,531.75, 72,798.03 and 13,474.14 is: 20,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,531.75 : 72,798.03 = 13,474.14 : x
  2. Step 2: Convert to fraction form
    48,531.75/72,798.03 = 13,474.14/x
  3. Step 3: Cross multiply
    48,531.75x = 72,798.03 × 13,474.14
  4. Step 4: Simplify right side
    48,531.75x = 980,890,416.58
  5. Step 5: Solve for x
    x = 980,890,416.58/48,531.75
  6. Step 6: Final answer
    x = 20,211.32

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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.