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Finding the Fourth Proportional to 69,886.38, 96,443.34 and 38,055.42

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Solution

The fourth proportional to 69,886.38, 96,443.34 and 38,055.42 is: 52,516.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,886.38 : 96,443.34 = 38,055.42 : x
  2. Step 2: Convert to fraction form
    69,886.38/96,443.34 = 38,055.42/x
  3. Step 3: Cross multiply
    69,886.38x = 96,443.34 × 38,055.42
  4. Step 4: Simplify right side
    69,886.38x = 3,670,191,809.90
  5. Step 5: Solve for x
    x = 3,670,191,809.90/69,886.38
  6. Step 6: Final answer
    x = 52,516.55

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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.