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Finding the Fourth Proportional to 49,849.80, 74,774.70 and 49,412.40

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Solution

The fourth proportional to 49,849.80, 74,774.70 and 49,412.40 is: 74,118.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,849.80 : 74,774.70 = 49,412.40 : x
  2. Step 2: Convert to fraction form
    49,849.80/74,774.70 = 49,412.40/x
  3. Step 3: Cross multiply
    49,849.80x = 74,774.70 × 49,412.40
  4. Step 4: Simplify right side
    49,849.80x = 3,694,797,386.28
  5. Step 5: Solve for x
    x = 3,694,797,386.28/49,849.80
  6. Step 6: Final answer
    x = 74,118.60

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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.