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Finding the Fourth Proportional to 60,293.58, 83,199.68 and 33,436

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Solution

The fourth proportional to 60,293.58, 83,199.68 and 33,436 is: 46,138.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,293.58 : 83,199.68 = 33,436 : x
  2. Step 2: Convert to fraction form
    60,293.58/83,199.68 = 33,436/x
  3. Step 3: Cross multiply
    60,293.58x = 83,199.68 × 33,436
  4. Step 4: Simplify right side
    60,293.58x = 2,781,864,500.48
  5. Step 5: Solve for x
    x = 2,781,864,500.48/60,293.58
  6. Step 6: Final answer
    x = 46,138.65

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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.