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Finding the Fourth Proportional to 42,001.84, 57,961.80 and 23,138.80

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Solution

The fourth proportional to 42,001.84, 57,961.80 and 23,138.80 is: 31,931.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,001.84 : 57,961.80 = 23,138.80 : x
  2. Step 2: Convert to fraction form
    42,001.84/57,961.80 = 23,138.80/x
  3. Step 3: Cross multiply
    42,001.84x = 57,961.80 × 23,138.80
  4. Step 4: Simplify right side
    42,001.84x = 1,341,166,497.84
  5. Step 5: Solve for x
    x = 1,341,166,497.84/42,001.84
  6. Step 6: Final answer
    x = 31,931.14

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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.