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Finding the Fourth Proportional to 42,878.90, 64,180.11 and 22,073.78

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Solution

The fourth proportional to 42,878.90, 64,180.11 and 22,073.78 is: 33,039.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,878.90 : 64,180.11 = 22,073.78 : x
  2. Step 2: Convert to fraction form
    42,878.90/64,180.11 = 22,073.78/x
  3. Step 3: Cross multiply
    42,878.90x = 64,180.11 × 22,073.78
  4. Step 4: Simplify right side
    42,878.90x = 1,416,697,628.52
  5. Step 5: Solve for x
    x = 1,416,697,628.52/42,878.90
  6. Step 6: Final answer
    x = 33,039.50

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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.