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Finding the Fourth Proportional to 92,428.84, 127,552.02 and 49,987.78

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Solution

The fourth proportional to 92,428.84, 127,552.02 and 49,987.78 is: 68,983.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,428.84 : 127,552.02 = 49,987.78 : x
  2. Step 2: Convert to fraction form
    92,428.84/127,552.02 = 49,987.78/x
  3. Step 3: Cross multiply
    92,428.84x = 127,552.02 × 49,987.78
  4. Step 4: Simplify right side
    92,428.84x = 6,376,042,314.32
  5. Step 5: Solve for x
    x = 6,376,042,314.32/92,428.84
  6. Step 6: Final answer
    x = 68,983.26

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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.