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Finding the Fourth Proportional to 75,118.93, 112,693.43 and 27,734.31

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Solution

The fourth proportional to 75,118.93, 112,693.43 and 27,734.31 is: 41,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,118.93 : 112,693.43 = 27,734.31 : x
  2. Step 2: Convert to fraction form
    75,118.93/112,693.43 = 27,734.31/x
  3. Step 3: Cross multiply
    75,118.93x = 112,693.43 × 27,734.31
  4. Step 4: Simplify right side
    75,118.93x = 3,125,474,171.51
  5. Step 5: Solve for x
    x = 3,125,474,171.51/75,118.93
  6. Step 6: Final answer
    x = 41,607.01

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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.