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Finding the Fourth Proportional to 96,596.52, 144,895.80 and 26,475.84

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Solution

The fourth proportional to 96,596.52, 144,895.80 and 26,475.84 is: 39,714.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,596.52 : 144,895.80 = 26,475.84 : x
  2. Step 2: Convert to fraction form
    96,596.52/144,895.80 = 26,475.84/x
  3. Step 3: Cross multiply
    96,596.52x = 144,895.80 × 26,475.84
  4. Step 4: Simplify right side
    96,596.52x = 3,836,238,017.47
  5. Step 5: Solve for x
    x = 3,836,238,017.47/96,596.52
  6. Step 6: Final answer
    x = 39,714.04

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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.