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Finding the Fourth Proportional to 34,000.80, 51,016.32 and 17,352

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Solution

The fourth proportional to 34,000.80, 51,016.32 and 17,352 is: 26,035.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,000.80 : 51,016.32 = 17,352 : x
  2. Step 2: Convert to fraction form
    34,000.80/51,016.32 = 17,352/x
  3. Step 3: Cross multiply
    34,000.80x = 51,016.32 × 17,352
  4. Step 4: Simplify right side
    34,000.80x = 885,235,184.64
  5. Step 5: Solve for x
    x = 885,235,184.64/34,000.80
  6. Step 6: Final answer
    x = 26,035.72

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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.