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Finding the Fourth Proportional to 83,070, 124,656.84 and 33,822

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Solution

The fourth proportional to 83,070, 124,656.84 and 33,822 is: 50,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,070 : 124,656.84 = 33,822 : x
  2. Step 2: Convert to fraction form
    83,070/124,656.84 = 33,822/x
  3. Step 3: Cross multiply
    83,070x = 124,656.84 × 33,822
  4. Step 4: Simplify right side
    83,070x = 4,216,143,642.48
  5. Step 5: Solve for x
    x = 4,216,143,642.48/83,070
  6. Step 6: Final answer
    x = 50,754.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.