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Finding the Fourth Proportional to 32,306.12, 48,478.26 and 17,514.68

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Solution

The fourth proportional to 32,306.12, 48,478.26 and 17,514.68 is: 26,282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,306.12 : 48,478.26 = 17,514.68 : x
  2. Step 2: Convert to fraction form
    32,306.12/48,478.26 = 17,514.68/x
  3. Step 3: Cross multiply
    32,306.12x = 48,478.26 × 17,514.68
  4. Step 4: Simplify right side
    32,306.12x = 849,081,210.86
  5. Step 5: Solve for x
    x = 849,081,210.86/32,306.12
  6. Step 6: Final answer
    x = 26,282.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.