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Finding the Fourth Proportional to 92,417.66, 127,536.38 and 49,976.20

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Solution

The fourth proportional to 92,417.66, 127,536.38 and 49,976.20 is: 68,967.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,417.66 : 127,536.38 = 49,976.20 : x
  2. Step 2: Convert to fraction form
    92,417.66/127,536.38 = 49,976.20/x
  3. Step 3: Cross multiply
    92,417.66x = 127,536.38 × 49,976.20
  4. Step 4: Simplify right side
    92,417.66x = 6,373,783,634.16
  5. Step 5: Solve for x
    x = 6,373,783,634.16/92,417.66
  6. Step 6: Final answer
    x = 68,967.16

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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.