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Finding the Fourth Proportional to 36,978.28, 55,459.26 and 10,677.30

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Solution

The fourth proportional to 36,978.28, 55,459.26 and 10,677.30 is: 16,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.28 : 55,459.26 = 10,677.30 : x
  2. Step 2: Convert to fraction form
    36,978.28/55,459.26 = 10,677.30/x
  3. Step 3: Cross multiply
    36,978.28x = 55,459.26 × 10,677.30
  4. Step 4: Simplify right side
    36,978.28x = 592,155,156.80
  5. Step 5: Solve for x
    x = 592,155,156.80/36,978.28
  6. Step 6: Final answer
    x = 16,013.59

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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.