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Finding the Fourth Proportional to 32,423.66, 48,632.97 and 10,237.70

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Solution

The fourth proportional to 32,423.66, 48,632.97 and 10,237.70 is: 15,355.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,423.66 : 48,632.97 = 10,237.70 : x
  2. Step 2: Convert to fraction form
    32,423.66/48,632.97 = 10,237.70/x
  3. Step 3: Cross multiply
    32,423.66x = 48,632.97 × 10,237.70
  4. Step 4: Simplify right side
    32,423.66x = 497,889,756.97
  5. Step 5: Solve for x
    x = 497,889,756.97/32,423.66
  6. Step 6: Final answer
    x = 15,355.75

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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.