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Finding the Fourth Proportional to 42,133.66, 58,144.90 and 23,270.78

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Solution

The fourth proportional to 42,133.66, 58,144.90 and 23,270.78 is: 32,113.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,133.66 : 58,144.90 = 23,270.78 : x
  2. Step 2: Convert to fraction form
    42,133.66/58,144.90 = 23,270.78/x
  3. Step 3: Cross multiply
    42,133.66x = 58,144.90 × 23,270.78
  4. Step 4: Simplify right side
    42,133.66x = 1,353,077,176.02
  5. Step 5: Solve for x
    x = 1,353,077,176.02/42,133.66
  6. Step 6: Final answer
    x = 32,113.92

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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.