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Finding the Fourth Proportional to 29,497.68, 44,257.68 and 13,904.16

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Solution

The fourth proportional to 29,497.68, 44,257.68 and 13,904.16 is: 20,861.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,497.68 : 44,257.68 = 13,904.16 : x
  2. Step 2: Convert to fraction form
    29,497.68/44,257.68 = 13,904.16/x
  3. Step 3: Cross multiply
    29,497.68x = 44,257.68 × 13,904.16
  4. Step 4: Simplify right side
    29,497.68x = 615,365,863.95
  5. Step 5: Solve for x
    x = 615,365,863.95/29,497.68
  6. Step 6: Final answer
    x = 20,861.50

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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.