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Finding the Fourth Proportional to 42,085.42, 58,083.06 and 24,180.40

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Solution

The fourth proportional to 42,085.42, 58,083.06 and 24,180.40 is: 33,371.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,085.42 : 58,083.06 = 24,180.40 : x
  2. Step 2: Convert to fraction form
    42,085.42/58,083.06 = 24,180.40/x
  3. Step 3: Cross multiply
    42,085.42x = 58,083.06 × 24,180.40
  4. Step 4: Simplify right side
    42,085.42x = 1,404,471,624.02
  5. Step 5: Solve for x
    x = 1,404,471,624.02/42,085.42
  6. Step 6: Final answer
    x = 33,371.93

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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.