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Finding the Fourth Proportional to 60,917, 84,065.46 and 34,421

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Solution

The fourth proportional to 60,917, 84,065.46 and 34,421 is: 47,500.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,917 : 84,065.46 = 34,421 : x
  2. Step 2: Convert to fraction form
    60,917/84,065.46 = 34,421/x
  3. Step 3: Cross multiply
    60,917x = 84,065.46 × 34,421
  4. Step 4: Simplify right side
    60,917x = 2,893,617,198.66
  5. Step 5: Solve for x
    x = 2,893,617,198.66/60,917
  6. Step 6: Final answer
    x = 47,500.98

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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.