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Finding the Fourth Proportional to 37,929.87, 52,343.10 and 20,934

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Solution

The fourth proportional to 37,929.87, 52,343.10 and 20,934 is: 28,888.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,929.87 : 52,343.10 = 20,934 : x
  2. Step 2: Convert to fraction form
    37,929.87/52,343.10 = 20,934/x
  3. Step 3: Cross multiply
    37,929.87x = 52,343.10 × 20,934
  4. Step 4: Simplify right side
    37,929.87x = 1,095,750,455.40
  5. Step 5: Solve for x
    x = 1,095,750,455.40/37,929.87
  6. Step 6: Final answer
    x = 28,888.85

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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.