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Finding the Fourth Proportional to 80,342.34, 110,872.14 and 44,532

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Solution

The fourth proportional to 80,342.34, 110,872.14 and 44,532 is: 61,454.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,342.34 : 110,872.14 = 44,532 : x
  2. Step 2: Convert to fraction form
    80,342.34/110,872.14 = 44,532/x
  3. Step 3: Cross multiply
    80,342.34x = 110,872.14 × 44,532
  4. Step 4: Simplify right side
    80,342.34x = 4,937,358,138.48
  5. Step 5: Solve for x
    x = 4,937,358,138.48/80,342.34
  6. Step 6: Final answer
    x = 61,454.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.