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Finding the Fourth Proportional to 92,276.82, 127,341.98 and 49,835.36

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Solution

The fourth proportional to 92,276.82, 127,341.98 and 49,835.36 is: 68,772.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,276.82 : 127,341.98 = 49,835.36 : x
  2. Step 2: Convert to fraction form
    92,276.82/127,341.98 = 49,835.36/x
  3. Step 3: Cross multiply
    92,276.82x = 127,341.98 × 49,835.36
  4. Step 4: Simplify right side
    92,276.82x = 6,346,133,416.41
  5. Step 5: Solve for x
    x = 6,346,133,416.41/92,276.82
  6. Step 6: Final answer
    x = 68,772.78

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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.