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Finding the Fourth Proportional to 32,416.38, 48,632.76 and 9,042.82

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Solution

The fourth proportional to 32,416.38, 48,632.76 and 9,042.82 is: 13,566.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,416.38 : 48,632.76 = 9,042.82 : x
  2. Step 2: Convert to fraction form
    32,416.38/48,632.76 = 9,042.82/x
  3. Step 3: Cross multiply
    32,416.38x = 48,632.76 × 9,042.82
  4. Step 4: Simplify right side
    32,416.38x = 439,777,294.78
  5. Step 5: Solve for x
    x = 439,777,294.78/32,416.38
  6. Step 6: Final answer
    x = 13,566.51

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1.5x scale

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.