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Finding the Fourth Proportional to 74,997.75, 112,502.60 and 25,078.16

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Solution

The fourth proportional to 74,997.75, 112,502.60 and 25,078.16 is: 37,619.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,997.75 : 112,502.60 = 25,078.16 : x
  2. Step 2: Convert to fraction form
    74,997.75/112,502.60 = 25,078.16/x
  3. Step 3: Cross multiply
    74,997.75x = 112,502.60 × 25,078.16
  4. Step 4: Simplify right side
    74,997.75x = 2,821,358,203.22
  5. Step 5: Solve for x
    x = 2,821,358,203.22/74,997.75
  6. Step 6: Final answer
    x = 37,619.24

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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.