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Finding the Fourth Proportional to 92,538, 127,708.50 and 52,252.78

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Solution

The fourth proportional to 92,538, 127,708.50 and 52,252.78 is: 72,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,538 : 127,708.50 = 52,252.78 : x
  2. Step 2: Convert to fraction form
    92,538/127,708.50 = 52,252.78/x
  3. Step 3: Cross multiply
    92,538x = 127,708.50 × 52,252.78
  4. Step 4: Simplify right side
    92,538x = 6,673,124,154.63
  5. Step 5: Solve for x
    x = 6,673,124,154.63/92,538
  6. Step 6: Final answer
    x = 72,112.26

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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.