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Finding the Fourth Proportional to 32,585.33, 48,876.96 and 10,400.06

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Solution

The fourth proportional to 32,585.33, 48,876.96 and 10,400.06 is: 15,599.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,585.33 : 48,876.96 = 10,400.06 : x
  2. Step 2: Convert to fraction form
    32,585.33/48,876.96 = 10,400.06/x
  3. Step 3: Cross multiply
    32,585.33x = 48,876.96 × 10,400.06
  4. Step 4: Simplify right side
    32,585.33x = 508,323,316.62
  5. Step 5: Solve for x
    x = 508,323,316.62/32,585.33
  6. Step 6: Final answer
    x = 15,599.76

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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.