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Finding the Fourth Proportional to 49,978.72, 74,931.04 and 30,252.61

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Solution

The fourth proportional to 49,978.72, 74,931.04 and 30,252.61 is: 45,356.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,978.72 : 74,931.04 = 30,252.61 : x
  2. Step 2: Convert to fraction form
    49,978.72/74,931.04 = 30,252.61/x
  3. Step 3: Cross multiply
    49,978.72x = 74,931.04 × 30,252.61
  4. Step 4: Simplify right side
    49,978.72x = 2,266,859,380.50
  5. Step 5: Solve for x
    x = 2,266,859,380.50/49,978.72
  6. Step 6: Final answer
    x = 45,356.49

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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.