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Finding the Fourth Proportional to 34,502.70, 51,754.05 and 24,005.10

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Solution

The fourth proportional to 34,502.70, 51,754.05 and 24,005.10 is: 36,007.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,502.70 : 51,754.05 = 24,005.10 : x
  2. Step 2: Convert to fraction form
    34,502.70/51,754.05 = 24,005.10/x
  3. Step 3: Cross multiply
    34,502.70x = 51,754.05 × 24,005.10
  4. Step 4: Simplify right side
    34,502.70x = 1,242,361,145.66
  5. Step 5: Solve for x
    x = 1,242,361,145.66/34,502.70
  6. Step 6: Final answer
    x = 36,007.65

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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.