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Finding the Fourth Proportional to 92,309.30, 127,392.84 and 51,478.04

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Solution

The fourth proportional to 92,309.30, 127,392.84 and 51,478.04 is: 71,043.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,309.30 : 127,392.84 = 51,478.04 : x
  2. Step 2: Convert to fraction form
    92,309.30/127,392.84 = 51,478.04/x
  3. Step 3: Cross multiply
    92,309.30x = 127,392.84 × 51,478.04
  4. Step 4: Simplify right side
    92,309.30x = 6,557,933,713.23
  5. Step 5: Solve for x
    x = 6,557,933,713.23/92,309.30
  6. Step 6: Final answer
    x = 71,043.04

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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.