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Finding the Fourth Proportional to 77,070.80, 115,627.80 and 37,629.20

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Solution

The fourth proportional to 77,070.80, 115,627.80 and 37,629.20 is: 56,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,070.80 : 115,627.80 = 37,629.20 : x
  2. Step 2: Convert to fraction form
    77,070.80/115,627.80 = 37,629.20/x
  3. Step 3: Cross multiply
    77,070.80x = 115,627.80 × 37,629.20
  4. Step 4: Simplify right side
    77,070.80x = 4,350,981,611.76
  5. Step 5: Solve for x
    x = 4,350,981,611.76/77,070.80
  6. Step 6: Final answer
    x = 56,454.35

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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.