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Finding the Fourth Proportional to 96,898, 145,330.20 and 26,758.48

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Solution

The fourth proportional to 96,898, 145,330.20 and 26,758.48 is: 40,133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,898 : 145,330.20 = 26,758.48 : x
  2. Step 2: Convert to fraction form
    96,898/145,330.20 = 26,758.48/x
  3. Step 3: Cross multiply
    96,898x = 145,330.20 × 26,758.48
  4. Step 4: Simplify right side
    96,898x = 3,888,815,250.10
  5. Step 5: Solve for x
    x = 3,888,815,250.10/96,898
  6. Step 6: Final answer
    x = 40,133.08

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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.