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Finding the Fourth Proportional to 36,926, 55,412.04 and 15,038

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Solution

The fourth proportional to 36,926, 55,412.04 and 15,038 is: 22,566.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,926 : 55,412.04 = 15,038 : x
  2. Step 2: Convert to fraction form
    36,926/55,412.04 = 15,038/x
  3. Step 3: Cross multiply
    36,926x = 55,412.04 × 15,038
  4. Step 4: Simplify right side
    36,926x = 833,286,257.52
  5. Step 5: Solve for x
    x = 833,286,257.52/36,926
  6. Step 6: Final answer
    x = 22,566.38

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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.