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Finding the Fourth Proportional to 42,226.92, 58,273.20 and 23,364

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Solution

The fourth proportional to 42,226.92, 58,273.20 and 23,364 is: 32,242.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,226.92 : 58,273.20 = 23,364 : x
  2. Step 2: Convert to fraction form
    42,226.92/58,273.20 = 23,364/x
  3. Step 3: Cross multiply
    42,226.92x = 58,273.20 × 23,364
  4. Step 4: Simplify right side
    42,226.92x = 1,361,495,044.80
  5. Step 5: Solve for x
    x = 1,361,495,044.80/42,226.92
  6. Step 6: Final answer
    x = 32,242.35

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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.