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Finding the Fourth Proportional to 32,176.30, 48,270.88 and 11,117.10

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Solution

The fourth proportional to 32,176.30, 48,270.88 and 11,117.10 is: 16,677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,176.30 : 48,270.88 = 11,117.10 : x
  2. Step 2: Convert to fraction form
    32,176.30/48,270.88 = 11,117.10/x
  3. Step 3: Cross multiply
    32,176.30x = 48,270.88 × 11,117.10
  4. Step 4: Simplify right side
    32,176.30x = 536,632,200.05
  5. Step 5: Solve for x
    x = 536,632,200.05/32,176.30
  6. Step 6: Final answer
    x = 16,677.87

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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.