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Finding the Fourth Proportional to 32,470.53, 48,707.69 and 9,098.79

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Solution

The fourth proportional to 32,470.53, 48,707.69 and 9,098.79 is: 13,648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,470.53 : 48,707.69 = 9,098.79 : x
  2. Step 2: Convert to fraction form
    32,470.53/48,707.69 = 9,098.79/x
  3. Step 3: Cross multiply
    32,470.53x = 48,707.69 × 9,098.79
  4. Step 4: Simplify right side
    32,470.53x = 443,181,042.70
  5. Step 5: Solve for x
    x = 443,181,042.70/32,470.53
  6. Step 6: Final answer
    x = 13,648.72

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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.