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Finding the Fourth Proportional to 50,004.74, 75,034.78 and 29,965

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Solution

The fourth proportional to 50,004.74, 75,034.78 and 29,965 is: 44,964.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,004.74 : 75,034.78 = 29,965 : x
  2. Step 2: Convert to fraction form
    50,004.74/75,034.78 = 29,965/x
  3. Step 3: Cross multiply
    50,004.74x = 75,034.78 × 29,965
  4. Step 4: Simplify right side
    50,004.74x = 2,248,417,182.70
  5. Step 5: Solve for x
    x = 2,248,417,182.70/50,004.74
  6. Step 6: Final answer
    x = 44,964.08

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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.