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Finding the Fourth Proportional to 57,695.60, 86,543.40 and 35,649.20

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Solution

The fourth proportional to 57,695.60, 86,543.40 and 35,649.20 is: 53,473.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,695.60 : 86,543.40 = 35,649.20 : x
  2. Step 2: Convert to fraction form
    57,695.60/86,543.40 = 35,649.20/x
  3. Step 3: Cross multiply
    57,695.60x = 86,543.40 × 35,649.20
  4. Step 4: Simplify right side
    57,695.60x = 3,085,202,975.28
  5. Step 5: Solve for x
    x = 3,085,202,975.28/57,695.60
  6. Step 6: Final answer
    x = 53,473.80

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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.