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Finding the Fourth Proportional to 35,291.50, 52,937.25 and 10,667.50

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Solution

The fourth proportional to 35,291.50, 52,937.25 and 10,667.50 is: 16,001.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,291.50 : 52,937.25 = 10,667.50 : x
  2. Step 2: Convert to fraction form
    35,291.50/52,937.25 = 10,667.50/x
  3. Step 3: Cross multiply
    35,291.50x = 52,937.25 × 10,667.50
  4. Step 4: Simplify right side
    35,291.50x = 564,708,114.38
  5. Step 5: Solve for x
    x = 564,708,114.38/35,291.50
  6. Step 6: Final answer
    x = 16,001.25

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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.