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Finding the Fourth Proportional to 60,616, 83,661.68 and 34,120

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Solution

The fourth proportional to 60,616, 83,661.68 and 34,120 is: 47,092.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,616 : 83,661.68 = 34,120 : x
  2. Step 2: Convert to fraction form
    60,616/83,661.68 = 34,120/x
  3. Step 3: Cross multiply
    60,616x = 83,661.68 × 34,120
  4. Step 4: Simplify right side
    60,616x = 2,854,536,521.60
  5. Step 5: Solve for x
    x = 2,854,536,521.60/60,616
  6. Step 6: Final answer
    x = 47,092.13

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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.