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Finding the Fourth Proportional to 37,290.32, 55,882.72 and 20,658

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Solution

The fourth proportional to 37,290.32, 55,882.72 and 20,658 is: 30,957.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,290.32 : 55,882.72 = 20,658 : x
  2. Step 2: Convert to fraction form
    37,290.32/55,882.72 = 20,658/x
  3. Step 3: Cross multiply
    37,290.32x = 55,882.72 × 20,658
  4. Step 4: Simplify right side
    37,290.32x = 1,154,425,229.76
  5. Step 5: Solve for x
    x = 1,154,425,229.76/37,290.32
  6. Step 6: Final answer
    x = 30,957.77

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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.