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Finding the Fourth Proportional to 74,094.83, 102,249.84 and 42,264.26

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Solution

The fourth proportional to 74,094.83, 102,249.84 and 42,264.26 is: 58,324.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,094.83 : 102,249.84 = 42,264.26 : x
  2. Step 2: Convert to fraction form
    74,094.83/102,249.84 = 42,264.26/x
  3. Step 3: Cross multiply
    74,094.83x = 102,249.84 × 42,264.26
  4. Step 4: Simplify right side
    74,094.83x = 4,321,513,867.02
  5. Step 5: Solve for x
    x = 4,321,513,867.02/74,094.83
  6. Step 6: Final answer
    x = 58,324.09

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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.