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Finding the Fourth Proportional to 32,423.78, 48,641.70 and 11,363.38

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Solution

The fourth proportional to 32,423.78, 48,641.70 and 11,363.38 is: 17,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,423.78 : 48,641.70 = 11,363.38 : x
  2. Step 2: Convert to fraction form
    32,423.78/48,641.70 = 11,363.38/x
  3. Step 3: Cross multiply
    32,423.78x = 48,641.70 × 11,363.38
  4. Step 4: Simplify right side
    32,423.78x = 552,734,120.95
  5. Step 5: Solve for x
    x = 552,734,120.95/32,423.78
  6. Step 6: Final answer
    x = 17,047.18

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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.