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Finding the Fourth Proportional to 32,712.50, 45,149.14 and 19,282.96

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Solution

The fourth proportional to 32,712.50, 45,149.14 and 19,282.96 is: 26,613.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,712.50 : 45,149.14 = 19,282.96 : x
  2. Step 2: Convert to fraction form
    32,712.50/45,149.14 = 19,282.96/x
  3. Step 3: Cross multiply
    32,712.50x = 45,149.14 × 19,282.96
  4. Step 4: Simplify right side
    32,712.50x = 870,609,060.65
  5. Step 5: Solve for x
    x = 870,609,060.65/32,712.50
  6. Step 6: Final answer
    x = 26,613.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.