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Finding the Fourth Proportional to 83,544.33, 115,280.52 and 47,736.66

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Solution

The fourth proportional to 83,544.33, 115,280.52 and 47,736.66 is: 65,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,544.33 : 115,280.52 = 47,736.66 : x
  2. Step 2: Convert to fraction form
    83,544.33/115,280.52 = 47,736.66/x
  3. Step 3: Cross multiply
    83,544.33x = 115,280.52 × 47,736.66
  4. Step 4: Simplify right side
    83,544.33x = 5,503,106,987.86
  5. Step 5: Solve for x
    x = 5,503,106,987.86/83,544.33
  6. Step 6: Final answer
    x = 65,870.50

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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.