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Finding the Fourth Proportional to 34,381.98, 51,581.03 and 10,688.31

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Solution

The fourth proportional to 34,381.98, 51,581.03 and 10,688.31 is: 16,034.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,381.98 : 51,581.03 = 10,688.31 : x
  2. Step 2: Convert to fraction form
    34,381.98/51,581.03 = 10,688.31/x
  3. Step 3: Cross multiply
    34,381.98x = 51,581.03 × 10,688.31
  4. Step 4: Simplify right side
    34,381.98x = 551,313,985.32
  5. Step 5: Solve for x
    x = 551,313,985.32/34,381.98
  6. Step 6: Final answer
    x = 16,034.97

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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.