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Finding the Fourth Proportional to 37,792.80, 52,154.54 and 20,799

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Solution

The fourth proportional to 37,792.80, 52,154.54 and 20,799 is: 28,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,792.80 : 52,154.54 = 20,799 : x
  2. Step 2: Convert to fraction form
    37,792.80/52,154.54 = 20,799/x
  3. Step 3: Cross multiply
    37,792.80x = 52,154.54 × 20,799
  4. Step 4: Simplify right side
    37,792.80x = 1,084,762,277.46
  5. Step 5: Solve for x
    x = 1,084,762,277.46/37,792.80
  6. Step 6: Final answer
    x = 28,702.88

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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.