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Finding the Fourth Proportional to 69,878.88, 96,432.97 and 38,047.91

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Solution

The fourth proportional to 69,878.88, 96,432.97 and 38,047.91 is: 52,506.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,878.88 : 96,432.97 = 38,047.91 : x
  2. Step 2: Convert to fraction form
    69,878.88/96,432.97 = 38,047.91/x
  3. Step 3: Cross multiply
    69,878.88x = 96,432.97 × 38,047.91
  4. Step 4: Simplify right side
    69,878.88x = 3,669,072,386.31
  5. Step 5: Solve for x
    x = 3,669,072,386.31/69,878.88
  6. Step 6: Final answer
    x = 52,506.17

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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.