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Finding the Fourth Proportional to 49,314.48, 68,055.72 and 28,097.04

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Solution

The fourth proportional to 49,314.48, 68,055.72 and 28,097.04 is: 38,774.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,314.48 : 68,055.72 = 28,097.04 : x
  2. Step 2: Convert to fraction form
    49,314.48/68,055.72 = 28,097.04/x
  3. Step 3: Cross multiply
    49,314.48x = 68,055.72 × 28,097.04
  4. Step 4: Simplify right side
    49,314.48x = 1,912,164,287.07
  5. Step 5: Solve for x
    x = 1,912,164,287.07/49,314.48
  6. Step 6: Final answer
    x = 38,774.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.