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Finding the Fourth Proportional to 51,951.84, 71,693.37 and 28,078.44

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Solution

The fourth proportional to 51,951.84, 71,693.37 and 28,078.44 is: 38,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,951.84 : 71,693.37 = 28,078.44 : x
  2. Step 2: Convert to fraction form
    51,951.84/71,693.37 = 28,078.44/x
  3. Step 3: Cross multiply
    51,951.84x = 71,693.37 × 28,078.44
  4. Step 4: Simplify right side
    51,951.84x = 2,013,037,987.94
  5. Step 5: Solve for x
    x = 2,013,037,987.94/51,951.84
  6. Step 6: Final answer
    x = 38,748.16

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1.5x scale

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.