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Finding the Fourth Proportional to 36,867.50, 55,301.45 and 9,165.50

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Solution

The fourth proportional to 36,867.50, 55,301.45 and 9,165.50 is: 13,748.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,867.50 : 55,301.45 = 9,165.50 : x
  2. Step 2: Convert to fraction form
    36,867.50/55,301.45 = 9,165.50/x
  3. Step 3: Cross multiply
    36,867.50x = 55,301.45 × 9,165.50
  4. Step 4: Simplify right side
    36,867.50x = 506,865,462.89
  5. Step 5: Solve for x
    x = 506,865,462.89/36,867.50
  6. Step 6: Final answer
    x = 13,748.30

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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.