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Finding the Fourth Proportional to 66,830.42, 100,214.24 and 38,758.46

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Solution

The fourth proportional to 66,830.42, 100,214.24 and 38,758.46 is: 58,119.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,830.42 : 100,214.24 = 38,758.46 : x
  2. Step 2: Convert to fraction form
    66,830.42/100,214.24 = 38,758.46/x
  3. Step 3: Cross multiply
    66,830.42x = 100,214.24 × 38,758.46
  4. Step 4: Simplify right side
    66,830.42x = 3,884,149,612.47
  5. Step 5: Solve for x
    x = 3,884,149,612.47/66,830.42
  6. Step 6: Final answer
    x = 58,119.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.