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Finding the Fourth Proportional to 32,306.32, 48,459.84 and 10,118.80

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Solution

The fourth proportional to 32,306.32, 48,459.84 and 10,118.80 is: 15,178.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,306.32 : 48,459.84 = 10,118.80 : x
  2. Step 2: Convert to fraction form
    32,306.32/48,459.84 = 10,118.80/x
  3. Step 3: Cross multiply
    32,306.32x = 48,459.84 × 10,118.80
  4. Step 4: Simplify right side
    32,306.32x = 490,355,428.99
  5. Step 5: Solve for x
    x = 490,355,428.99/32,306.32
  6. Step 6: Final answer
    x = 15,178.31

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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.