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Finding the Fourth Proportional to 75,701.92, 113,423.75 and 53,472.48

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Solution

The fourth proportional to 75,701.92, 113,423.75 and 53,472.48 is: 80,117.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,701.92 : 113,423.75 = 53,472.48 : x
  2. Step 2: Convert to fraction form
    75,701.92/113,423.75 = 53,472.48/x
  3. Step 3: Cross multiply
    75,701.92x = 113,423.75 × 53,472.48
  4. Step 4: Simplify right side
    75,701.92x = 6,065,049,203.40
  5. Step 5: Solve for x
    x = 6,065,049,203.40/75,701.92
  6. Step 6: Final answer
    x = 80,117.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.