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Finding the Fourth Proportional to 36,978.68, 55,416.14 and 24,640.76

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Solution

The fourth proportional to 36,978.68, 55,416.14 and 24,640.76 is: 36,926.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,978.68 : 55,416.14 = 24,640.76 : x
  2. Step 2: Convert to fraction form
    36,978.68/55,416.14 = 24,640.76/x
  3. Step 3: Cross multiply
    36,978.68x = 55,416.14 × 24,640.76
  4. Step 4: Simplify right side
    36,978.68x = 1,365,495,805.87
  5. Step 5: Solve for x
    x = 1,365,495,805.87/36,978.68
  6. Step 6: Final answer
    x = 36,926.57

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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.