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Finding the Fourth Proportional to 34,538.43, 47,612.28 and 24,435.72

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Solution

The fourth proportional to 34,538.43, 47,612.28 and 24,435.72 is: 33,685.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,538.43 : 47,612.28 = 24,435.72 : x
  2. Step 2: Convert to fraction form
    34,538.43/47,612.28 = 24,435.72/x
  3. Step 3: Cross multiply
    34,538.43x = 47,612.28 × 24,435.72
  4. Step 4: Simplify right side
    34,538.43x = 1,163,440,342.64
  5. Step 5: Solve for x
    x = 1,163,440,342.64/34,538.43
  6. Step 6: Final answer
    x = 33,685.39

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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.