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Finding the Fourth Proportional to 42,284, 58,351.92 and 23,423.96

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Solution

The fourth proportional to 42,284, 58,351.92 and 23,423.96 is: 32,325.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,284 : 58,351.92 = 23,423.96 : x
  2. Step 2: Convert to fraction form
    42,284/58,351.92 = 23,423.96/x
  3. Step 3: Cross multiply
    42,284x = 58,351.92 × 23,423.96
  4. Step 4: Simplify right side
    42,284x = 1,366,833,040.00
  5. Step 5: Solve for x
    x = 1,366,833,040.00/42,284
  6. Step 6: Final answer
    x = 32,325.06

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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.