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Finding the Fourth Proportional to 37,930.74, 52,321.84 and 24,509.88

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Solution

The fourth proportional to 37,930.74, 52,321.84 and 24,509.88 is: 33,809.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,930.74 : 52,321.84 = 24,509.88 : x
  2. Step 2: Convert to fraction form
    37,930.74/52,321.84 = 24,509.88/x
  3. Step 3: Cross multiply
    37,930.74x = 52,321.84 × 24,509.88
  4. Step 4: Simplify right side
    37,930.74x = 1,282,402,019.78
  5. Step 5: Solve for x
    x = 1,282,402,019.78/37,930.74
  6. Step 6: Final answer
    x = 33,809.04

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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.