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Finding the Fourth Proportional to 62,152.94, 85,777.25 and 37,952.57

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Solution

The fourth proportional to 62,152.94, 85,777.25 and 37,952.57 is: 52,378.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,152.94 : 85,777.25 = 37,952.57 : x
  2. Step 2: Convert to fraction form
    62,152.94/85,777.25 = 37,952.57/x
  3. Step 3: Cross multiply
    62,152.94x = 85,777.25 × 37,952.57
  4. Step 4: Simplify right side
    62,152.94x = 3,255,466,466.38
  5. Step 5: Solve for x
    x = 3,255,466,466.38/62,152.94
  6. Step 6: Final answer
    x = 52,378.32

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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.