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Finding the Fourth Proportional to 38,074.05, 52,547.07 and 22,974.85

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Solution

The fourth proportional to 38,074.05, 52,547.07 and 22,974.85 is: 31,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,074.05 : 52,547.07 = 22,974.85 : x
  2. Step 2: Convert to fraction form
    38,074.05/52,547.07 = 22,974.85/x
  3. Step 3: Cross multiply
    38,074.05x = 52,547.07 × 22,974.85
  4. Step 4: Simplify right side
    38,074.05x = 1,207,261,051.19
  5. Step 5: Solve for x
    x = 1,207,261,051.19/38,074.05
  6. Step 6: Final answer
    x = 31,708.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.