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Finding the Fourth Proportional to 32,315.12, 48,491.76 and 17,523.68

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Solution

The fourth proportional to 32,315.12, 48,491.76 and 17,523.68 is: 26,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,315.12 : 48,491.76 = 17,523.68 : x
  2. Step 2: Convert to fraction form
    32,315.12/48,491.76 = 17,523.68/x
  3. Step 3: Cross multiply
    32,315.12x = 48,491.76 × 17,523.68
  4. Step 4: Simplify right side
    32,315.12x = 849,754,084.88
  5. Step 5: Solve for x
    x = 849,754,084.88/32,315.12
  6. Step 6: Final answer
    x = 26,295.87

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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.