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Finding the Fourth Proportional to 57,951.76, 79,973.76 and 34,079.44

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Solution

The fourth proportional to 57,951.76, 79,973.76 and 34,079.44 is: 47,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,951.76 : 79,973.76 = 34,079.44 : x
  2. Step 2: Convert to fraction form
    57,951.76/79,973.76 = 34,079.44/x
  3. Step 3: Cross multiply
    57,951.76x = 79,973.76 × 34,079.44
  4. Step 4: Simplify right side
    57,951.76x = 2,725,460,955.49
  5. Step 5: Solve for x
    x = 2,725,460,955.49/57,951.76
  6. Step 6: Final answer
    x = 47,029.82

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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.