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Finding the Fourth Proportional to 34,152.96, 51,223.68 and 10,776

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Solution

The fourth proportional to 34,152.96, 51,223.68 and 10,776 is: 16,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,152.96 : 51,223.68 = 10,776 : x
  2. Step 2: Convert to fraction form
    34,152.96/51,223.68 = 10,776/x
  3. Step 3: Cross multiply
    34,152.96x = 51,223.68 × 10,776
  4. Step 4: Simplify right side
    34,152.96x = 551,986,375.68
  5. Step 5: Solve for x
    x = 551,986,375.68/34,152.96
  6. Step 6: Final answer
    x = 16,162.18

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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.