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Finding the Fourth Proportional to 38,202, 57,317.58 and 14,830.26

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Solution

The fourth proportional to 38,202, 57,317.58 and 14,830.26 is: 22,251.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,202 : 57,317.58 = 14,830.26 : x
  2. Step 2: Convert to fraction form
    38,202/57,317.58 = 14,830.26/x
  3. Step 3: Cross multiply
    38,202x = 57,317.58 × 14,830.26
  4. Step 4: Simplify right side
    38,202x = 850,034,613.97
  5. Step 5: Solve for x
    x = 850,034,613.97/38,202
  6. Step 6: Final answer
    x = 22,251.05

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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.