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Finding the Fourth Proportional to 45,115.32, 67,679.46 and 13,953

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Solution

The fourth proportional to 45,115.32, 67,679.46 and 13,953 is: 20,931.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,115.32 : 67,679.46 = 13,953 : x
  2. Step 2: Convert to fraction form
    45,115.32/67,679.46 = 13,953/x
  3. Step 3: Cross multiply
    45,115.32x = 67,679.46 × 13,953
  4. Step 4: Simplify right side
    45,115.32x = 944,331,505.38
  5. Step 5: Solve for x
    x = 944,331,505.38/45,115.32
  6. Step 6: Final answer
    x = 20,931.50

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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.