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Finding the Fourth Proportional to 57,362.52, 85,946.70 and 35,129.46

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Solution

The fourth proportional to 57,362.52, 85,946.70 and 35,129.46 is: 52,634.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,362.52 : 85,946.70 = 35,129.46 : x
  2. Step 2: Convert to fraction form
    57,362.52/85,946.70 = 35,129.46/x
  3. Step 3: Cross multiply
    57,362.52x = 85,946.70 × 35,129.46
  4. Step 4: Simplify right side
    57,362.52x = 3,019,261,159.78
  5. Step 5: Solve for x
    x = 3,019,261,159.78/57,362.52
  6. Step 6: Final answer
    x = 52,634.74

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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.