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Finding the Fourth Proportional to 45,105.32, 67,664.46 and 13,943

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Solution

The fourth proportional to 45,105.32, 67,664.46 and 13,943 is: 20,916.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,105.32 : 67,664.46 = 13,943 : x
  2. Step 2: Convert to fraction form
    45,105.32/67,664.46 = 13,943/x
  3. Step 3: Cross multiply
    45,105.32x = 67,664.46 × 13,943
  4. Step 4: Simplify right side
    45,105.32x = 943,445,565.78
  5. Step 5: Solve for x
    x = 943,445,565.78/45,105.32
  6. Step 6: Final answer
    x = 20,916.50

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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.