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Finding the Fourth Proportional to 32,409.90, 48,616.50 and 10,224.96

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Solution

The fourth proportional to 32,409.90, 48,616.50 and 10,224.96 is: 15,337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,409.90 : 48,616.50 = 10,224.96 : x
  2. Step 2: Convert to fraction form
    32,409.90/48,616.50 = 10,224.96/x
  3. Step 3: Cross multiply
    32,409.90x = 48,616.50 × 10,224.96
  4. Step 4: Simplify right side
    32,409.90x = 497,101,767.84
  5. Step 5: Solve for x
    x = 497,101,767.84/32,409.90
  6. Step 6: Final answer
    x = 15,337.96

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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.