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Finding the Fourth Proportional to 32,116.50, 48,154.50 and 15,480.72

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Solution

The fourth proportional to 32,116.50, 48,154.50 and 15,480.72 is: 23,211.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,116.50 : 48,154.50 = 15,480.72 : x
  2. Step 2: Convert to fraction form
    32,116.50/48,154.50 = 15,480.72/x
  3. Step 3: Cross multiply
    32,116.50x = 48,154.50 × 15,480.72
  4. Step 4: Simplify right side
    32,116.50x = 745,466,331.24
  5. Step 5: Solve for x
    x = 745,466,331.24/32,116.50
  6. Step 6: Final answer
    x = 23,211.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.