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Finding the Fourth Proportional to 49,649.60, 74,301.60 and 34,097.60

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Solution

The fourth proportional to 49,649.60, 74,301.60 and 34,097.60 is: 51,027.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,649.60 : 74,301.60 = 34,097.60 : x
  2. Step 2: Convert to fraction form
    49,649.60/74,301.60 = 34,097.60/x
  3. Step 3: Cross multiply
    49,649.60x = 74,301.60 × 34,097.60
  4. Step 4: Simplify right side
    49,649.60x = 2,533,506,236.16
  5. Step 5: Solve for x
    x = 2,533,506,236.16/49,649.60
  6. Step 6: Final answer
    x = 51,027.73

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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.