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Finding the Fourth Proportional to 49,095.84, 73,634.04 and 40,829.04

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Solution

The fourth proportional to 49,095.84, 73,634.04 and 40,829.04 is: 61,235.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,095.84 : 73,634.04 = 40,829.04 : x
  2. Step 2: Convert to fraction form
    49,095.84/73,634.04 = 40,829.04/x
  3. Step 3: Cross multiply
    49,095.84x = 73,634.04 × 40,829.04
  4. Step 4: Simplify right side
    49,095.84x = 3,006,407,164.52
  5. Step 5: Solve for x
    x = 3,006,407,164.52/49,095.84
  6. Step 6: Final answer
    x = 61,235.48

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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.