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Finding the Fourth Proportional to 92,634.82, 127,838.42 and 56,844.60

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Solution

The fourth proportional to 92,634.82, 127,838.42 and 56,844.60 is: 78,447.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,634.82 : 127,838.42 = 56,844.60 : x
  2. Step 2: Convert to fraction form
    92,634.82/127,838.42 = 56,844.60/x
  3. Step 3: Cross multiply
    92,634.82x = 127,838.42 × 56,844.60
  4. Step 4: Simplify right side
    92,634.82x = 7,266,923,849.53
  5. Step 5: Solve for x
    x = 7,266,923,849.53/92,634.82
  6. Step 6: Final answer
    x = 78,447.00

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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.