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Finding the Fourth Proportional to 118,507.32, 177,574.14 and 43,524

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Solution

The fourth proportional to 118,507.32, 177,574.14 and 43,524 is: 65,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,507.32 : 177,574.14 = 43,524 : x
  2. Step 2: Convert to fraction form
    118,507.32/177,574.14 = 43,524/x
  3. Step 3: Cross multiply
    118,507.32x = 177,574.14 × 43,524
  4. Step 4: Simplify right side
    118,507.32x = 7,728,736,869.36
  5. Step 5: Solve for x
    x = 7,728,736,869.36/118,507.32
  6. Step 6: Final answer
    x = 65,217.38

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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.