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Finding the Fourth Proportional to 60,206.87, 90,291.81 and 22,784.60

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Solution

The fourth proportional to 60,206.87, 90,291.81 and 22,784.60 is: 34,169.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,206.87 : 90,291.81 = 22,784.60 : x
  2. Step 2: Convert to fraction form
    60,206.87/90,291.81 = 22,784.60/x
  3. Step 3: Cross multiply
    60,206.87x = 90,291.81 × 22,784.60
  4. Step 4: Simplify right side
    60,206.87x = 2,057,262,774.13
  5. Step 5: Solve for x
    x = 2,057,262,774.13/60,206.87
  6. Step 6: Final answer
    x = 34,169.90

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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.