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Finding the Fourth Proportional to 38,494.46, 53,110.73 and 22,358.65

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Solution

The fourth proportional to 38,494.46, 53,110.73 and 22,358.65 is: 30,848.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,494.46 : 53,110.73 = 22,358.65 : x
  2. Step 2: Convert to fraction form
    38,494.46/53,110.73 = 22,358.65/x
  3. Step 3: Cross multiply
    38,494.46x = 53,110.73 × 22,358.65
  4. Step 4: Simplify right side
    38,494.46x = 1,187,484,223.31
  5. Step 5: Solve for x
    x = 1,187,484,223.31/38,494.46
  6. Step 6: Final answer
    x = 30,848.19

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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.