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Finding the Fourth Proportional to 96,276.32, 144,472.80 and 37,152.80

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Solution

The fourth proportional to 96,276.32, 144,472.80 and 37,152.80 is: 55,751.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,276.32 : 144,472.80 = 37,152.80 : x
  2. Step 2: Convert to fraction form
    96,276.32/144,472.80 = 37,152.80/x
  3. Step 3: Cross multiply
    96,276.32x = 144,472.80 × 37,152.80
  4. Step 4: Simplify right side
    96,276.32x = 5,367,569,043.84
  5. Step 5: Solve for x
    x = 5,367,569,043.84/96,276.32
  6. Step 6: Final answer
    x = 55,751.71

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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.