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Finding the Fourth Proportional to 92,305.66, 127,381.65 and 49,864.06

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Solution

The fourth proportional to 92,305.66, 127,381.65 and 49,864.06 is: 68,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,305.66 : 127,381.65 = 49,864.06 : x
  2. Step 2: Convert to fraction form
    92,305.66/127,381.65 = 49,864.06/x
  3. Step 3: Cross multiply
    92,305.66x = 127,381.65 × 49,864.06
  4. Step 4: Simplify right side
    92,305.66x = 6,351,766,238.50
  5. Step 5: Solve for x
    x = 6,351,766,238.50/92,305.66
  6. Step 6: Final answer
    x = 68,812.32

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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.