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Finding the Fourth Proportional to 38,208.32, 57,302.76 and 14,822

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Solution

The fourth proportional to 38,208.32, 57,302.76 and 14,822 is: 22,229.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,208.32 : 57,302.76 = 14,822 : x
  2. Step 2: Convert to fraction form
    38,208.32/57,302.76 = 14,822/x
  3. Step 3: Cross multiply
    38,208.32x = 57,302.76 × 14,822
  4. Step 4: Simplify right side
    38,208.32x = 849,341,508.72
  5. Step 5: Solve for x
    x = 849,341,508.72/38,208.32
  6. Step 6: Final answer
    x = 22,229.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.