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Finding the Fourth Proportional to 118,532.80, 177,824.80 and 35,435.20

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Solution

The fourth proportional to 118,532.80, 177,824.80 and 35,435.20 is: 53,160.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,532.80 : 177,824.80 = 35,435.20 : x
  2. Step 2: Convert to fraction form
    118,532.80/177,824.80 = 35,435.20/x
  3. Step 3: Cross multiply
    118,532.80x = 177,824.80 × 35,435.20
  4. Step 4: Simplify right side
    118,532.80x = 6,301,257,352.96
  5. Step 5: Solve for x
    x = 6,301,257,352.96/118,532.80
  6. Step 6: Final answer
    x = 53,160.45

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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.