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Finding the Fourth Proportional to 49,166.84, 73,619.04 and 25,744.04

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Solution

The fourth proportional to 49,166.84, 73,619.04 and 25,744.04 is: 38,547.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,166.84 : 73,619.04 = 25,744.04 : x
  2. Step 2: Convert to fraction form
    49,166.84/73,619.04 = 25,744.04/x
  3. Step 3: Cross multiply
    49,166.84x = 73,619.04 × 25,744.04
  4. Step 4: Simplify right side
    49,166.84x = 1,895,251,510.52
  5. Step 5: Solve for x
    x = 1,895,251,510.52/49,166.84
  6. Step 6: Final answer
    x = 38,547.35

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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.