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Finding the Fourth Proportional to 75,332, 112,998 and 26,084

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Solution

The fourth proportional to 75,332, 112,998 and 26,084 is: 39,126

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,332 : 112,998 = 26,084 : x
  2. Step 2: Convert to fraction form
    75,332/112,998 = 26,084/x
  3. Step 3: Cross multiply
    75,332x = 112,998 × 26,084
  4. Step 4: Simplify right side
    75,332x = 2,947,439,832
  5. Step 5: Solve for x
    x = 2,947,439,832/75,332
  6. Step 6: Final answer
    x = 39,126

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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.