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Finding the Fourth Proportional to 69,758.34, 96,264.47 and 39,546.44

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Solution

The fourth proportional to 69,758.34, 96,264.47 and 39,546.44 is: 54,572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,758.34 : 96,264.47 = 39,546.44 : x
  2. Step 2: Convert to fraction form
    69,758.34/96,264.47 = 39,546.44/x
  3. Step 3: Cross multiply
    69,758.34x = 96,264.47 × 39,546.44
  4. Step 4: Simplify right side
    69,758.34x = 3,806,916,407.93
  5. Step 5: Solve for x
    x = 3,806,916,407.93/69,758.34
  6. Step 6: Final answer
    x = 54,572.92

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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.