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Finding the Fourth Proportional to 49,503.60, 68,314.89 and 27,147.60

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Solution

The fourth proportional to 49,503.60, 68,314.89 and 27,147.60 is: 37,463.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,503.60 : 68,314.89 = 27,147.60 : x
  2. Step 2: Convert to fraction form
    49,503.60/68,314.89 = 27,147.60/x
  3. Step 3: Cross multiply
    49,503.60x = 68,314.89 × 27,147.60
  4. Step 4: Simplify right side
    49,503.60x = 1,854,585,307.76
  5. Step 5: Solve for x
    x = 1,854,585,307.76/49,503.60
  6. Step 6: Final answer
    x = 37,463.65

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1.5x scale

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.