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Finding the Fourth Proportional to 34,688.30, 52,040.85 and 10,064.30

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Solution

The fourth proportional to 34,688.30, 52,040.85 and 10,064.30 is: 15,098.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,688.30 : 52,040.85 = 10,064.30 : x
  2. Step 2: Convert to fraction form
    34,688.30/52,040.85 = 10,064.30/x
  3. Step 3: Cross multiply
    34,688.30x = 52,040.85 × 10,064.30
  4. Step 4: Simplify right side
    34,688.30x = 523,754,726.66
  5. Step 5: Solve for x
    x = 523,754,726.66/34,688.30
  6. Step 6: Final answer
    x = 15,098.89

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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.