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Finding the Fourth Proportional to 72,077.80, 108,180.70 and 42,458.60

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Solution

The fourth proportional to 72,077.80, 108,180.70 and 42,458.60 is: 63,725.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,077.80 : 108,180.70 = 42,458.60 : x
  2. Step 2: Convert to fraction form
    72,077.80/108,180.70 = 42,458.60/x
  3. Step 3: Cross multiply
    72,077.80x = 108,180.70 × 42,458.60
  4. Step 4: Simplify right side
    72,077.80x = 4,593,201,069.02
  5. Step 5: Solve for x
    x = 4,593,201,069.02/72,077.80
  6. Step 6: Final answer
    x = 63,725.60

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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.