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Finding the Fourth Proportional to 42,197.30, 58,223.84 and 23,330.78

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Solution

The fourth proportional to 42,197.30, 58,223.84 and 23,330.78 is: 32,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,197.30 : 58,223.84 = 23,330.78 : x
  2. Step 2: Convert to fraction form
    42,197.30/58,223.84 = 23,330.78/x
  3. Step 3: Cross multiply
    42,197.30x = 58,223.84 × 23,330.78
  4. Step 4: Simplify right side
    42,197.30x = 1,358,407,601.80
  5. Step 5: Solve for x
    x = 1,358,407,601.80/42,197.30
  6. Step 6: Final answer
    x = 32,191.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.