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Finding the Fourth Proportional to 57,197.88, 78,914.52 and 37,070.46

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Solution

The fourth proportional to 57,197.88, 78,914.52 and 37,070.46 is: 51,145.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,197.88 : 78,914.52 = 37,070.46 : x
  2. Step 2: Convert to fraction form
    57,197.88/78,914.52 = 37,070.46/x
  3. Step 3: Cross multiply
    57,197.88x = 78,914.52 × 37,070.46
  4. Step 4: Simplify right side
    57,197.88x = 2,925,397,557.08
  5. Step 5: Solve for x
    x = 2,925,397,557.08/57,197.88
  6. Step 6: Final answer
    x = 51,145.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.