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Finding the Fourth Proportional to 60,768, 83,859.84 and 34,272

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Solution

The fourth proportional to 60,768, 83,859.84 and 34,272 is: 47,295.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,768 : 83,859.84 = 34,272 : x
  2. Step 2: Convert to fraction form
    60,768/83,859.84 = 34,272/x
  3. Step 3: Cross multiply
    60,768x = 83,859.84 × 34,272
  4. Step 4: Simplify right side
    60,768x = 2,874,044,436.48
  5. Step 5: Solve for x
    x = 2,874,044,436.48/60,768
  6. Step 6: Final answer
    x = 47,295.36

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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.