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Finding the Fourth Proportional to 48,347.28, 72,517.68 and 13,284

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Solution

The fourth proportional to 48,347.28, 72,517.68 and 13,284 is: 19,925.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,347.28 : 72,517.68 = 13,284 : x
  2. Step 2: Convert to fraction form
    48,347.28/72,517.68 = 13,284/x
  3. Step 3: Cross multiply
    48,347.28x = 72,517.68 × 13,284
  4. Step 4: Simplify right side
    48,347.28x = 963,324,861.12
  5. Step 5: Solve for x
    x = 963,324,861.12/48,347.28
  6. Step 6: Final answer
    x = 19,925.11

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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.