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Finding the Fourth Proportional to 96,639.56, 144,952.86 and 26,513

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Solution

The fourth proportional to 96,639.56, 144,952.86 and 26,513 is: 39,767.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,639.56 : 144,952.86 = 26,513 : x
  2. Step 2: Convert to fraction form
    96,639.56/144,952.86 = 26,513/x
  3. Step 3: Cross multiply
    96,639.56x = 144,952.86 × 26,513
  4. Step 4: Simplify right side
    96,639.56x = 3,843,135,177.18
  5. Step 5: Solve for x
    x = 3,843,135,177.18/96,639.56
  6. Step 6: Final answer
    x = 39,767.72

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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.