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Finding the Fourth Proportional to 38,294.79, 52,838.98 and 22,376.16

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Solution

The fourth proportional to 38,294.79, 52,838.98 and 22,376.16 is: 30,874.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,294.79 : 52,838.98 = 22,376.16 : x
  2. Step 2: Convert to fraction form
    38,294.79/52,838.98 = 22,376.16/x
  3. Step 3: Cross multiply
    38,294.79x = 52,838.98 × 22,376.16
  4. Step 4: Simplify right side
    38,294.79x = 1,182,333,470.72
  5. Step 5: Solve for x
    x = 1,182,333,470.72/38,294.79
  6. Step 6: Final answer
    x = 30,874.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.