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Finding the Fourth Proportional to 70,962.34, 106,454.40 and 24,204.28

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Solution

The fourth proportional to 70,962.34, 106,454.40 and 24,204.28 is: 36,310.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,962.34 : 106,454.40 = 24,204.28 : x
  2. Step 2: Convert to fraction form
    70,962.34/106,454.40 = 24,204.28/x
  3. Step 3: Cross multiply
    70,962.34x = 106,454.40 × 24,204.28
  4. Step 4: Simplify right side
    70,962.34x = 2,576,652,104.83
  5. Step 5: Solve for x
    x = 2,576,652,104.83/70,962.34
  6. Step 6: Final answer
    x = 36,310.13

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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.