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Finding the Fourth Proportional to 47,946.18, 71,943.57 and 32,331

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Solution

The fourth proportional to 47,946.18, 71,943.57 and 32,331 is: 48,512.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,946.18 : 71,943.57 = 32,331 : x
  2. Step 2: Convert to fraction form
    47,946.18/71,943.57 = 32,331/x
  3. Step 3: Cross multiply
    47,946.18x = 71,943.57 × 32,331
  4. Step 4: Simplify right side
    47,946.18x = 2,326,007,561.67
  5. Step 5: Solve for x
    x = 2,326,007,561.67/47,946.18
  6. Step 6: Final answer
    x = 48,512.89

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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.