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Finding the Fourth Proportional to 29,974.80, 45,001.80 and 24,054.96

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Solution

The fourth proportional to 29,974.80, 45,001.80 and 24,054.96 is: 36,114.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,974.80 : 45,001.80 = 24,054.96 : x
  2. Step 2: Convert to fraction form
    29,974.80/45,001.80 = 24,054.96/x
  3. Step 3: Cross multiply
    29,974.80x = 45,001.80 × 24,054.96
  4. Step 4: Simplify right side
    29,974.80x = 1,082,516,498.93
  5. Step 5: Solve for x
    x = 1,082,516,498.93/29,974.80
  6. Step 6: Final answer
    x = 36,114.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.