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Finding the Fourth Proportional to 32,117, 48,176.11 and 8,744.05

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Solution

The fourth proportional to 32,117, 48,176.11 and 8,744.05 is: 13,116.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,117 : 48,176.11 = 8,744.05 : x
  2. Step 2: Convert to fraction form
    32,117/48,176.11 = 8,744.05/x
  3. Step 3: Cross multiply
    32,117x = 48,176.11 × 8,744.05
  4. Step 4: Simplify right side
    32,117x = 421,254,073.76
  5. Step 5: Solve for x
    x = 421,254,073.76/32,117
  6. Step 6: Final answer
    x = 13,116.23

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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.