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Finding the Fourth Proportional to 35,308.70, 52,962.98 and 9,013.44

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Solution

The fourth proportional to 35,308.70, 52,962.98 and 9,013.44 is: 13,520.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,308.70 : 52,962.98 = 9,013.44 : x
  2. Step 2: Convert to fraction form
    35,308.70/52,962.98 = 9,013.44/x
  3. Step 3: Cross multiply
    35,308.70x = 52,962.98 × 9,013.44
  4. Step 4: Simplify right side
    35,308.70x = 477,378,597.38
  5. Step 5: Solve for x
    x = 477,378,597.38/35,308.70
  6. Step 6: Final answer
    x = 13,520.14

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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.