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Finding the Fourth Proportional to 32,532.13, 48,803.05 and 10,346.23

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Solution

The fourth proportional to 32,532.13, 48,803.05 and 10,346.23 is: 15,520.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,532.13 : 48,803.05 = 10,346.23 : x
  2. Step 2: Convert to fraction form
    32,532.13/48,803.05 = 10,346.23/x
  3. Step 3: Cross multiply
    32,532.13x = 48,803.05 × 10,346.23
  4. Step 4: Simplify right side
    32,532.13x = 504,927,470.93
  5. Step 5: Solve for x
    x = 504,927,470.93/32,532.13
  6. Step 6: Final answer
    x = 15,520.89

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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.