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Finding the Fourth Proportional to 51,997.68, 71,756.85 and 28,124.39

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Solution

The fourth proportional to 51,997.68, 71,756.85 and 28,124.39 is: 38,811.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,997.68 : 71,756.85 = 28,124.39 : x
  2. Step 2: Convert to fraction form
    51,997.68/71,756.85 = 28,124.39/x
  3. Step 3: Cross multiply
    51,997.68x = 71,756.85 × 28,124.39
  4. Step 4: Simplify right side
    51,997.68x = 2,018,117,275.79
  5. Step 5: Solve for x
    x = 2,018,117,275.79/51,997.68
  6. Step 6: Final answer
    x = 38,811.68

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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.