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Finding the Fourth Proportional to 51,031.52, 76,578.72 and 32,285.74

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Solution

The fourth proportional to 51,031.52, 76,578.72 and 32,285.74 is: 48,448.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,031.52 : 76,578.72 = 32,285.74 : x
  2. Step 2: Convert to fraction form
    51,031.52/76,578.72 = 32,285.74/x
  3. Step 3: Cross multiply
    51,031.52x = 76,578.72 × 32,285.74
  4. Step 4: Simplify right side
    51,031.52x = 2,472,400,474.52
  5. Step 5: Solve for x
    x = 2,472,400,474.52/51,031.52
  6. Step 6: Final answer
    x = 48,448.50

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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.