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Finding the Fourth Proportional to 84,611.80, 126,831.30 and 49,533.40

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Solution

The fourth proportional to 84,611.80, 126,831.30 and 49,533.40 is: 74,249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,611.80 : 126,831.30 = 49,533.40 : x
  2. Step 2: Convert to fraction form
    84,611.80/126,831.30 = 49,533.40/x
  3. Step 3: Cross multiply
    84,611.80x = 126,831.30 × 49,533.40
  4. Step 4: Simplify right side
    84,611.80x = 6,282,385,515.42
  5. Step 5: Solve for x
    x = 6,282,385,515.42/84,611.80
  6. Step 6: Final answer
    x = 74,249.52

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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.