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Finding the Fourth Proportional to 75,682.66, 104,442.10 and 43,870.01

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Solution

The fourth proportional to 75,682.66, 104,442.10 and 43,870.01 is: 60,540.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,682.66 : 104,442.10 = 43,870.01 : x
  2. Step 2: Convert to fraction form
    75,682.66/104,442.10 = 43,870.01/x
  3. Step 3: Cross multiply
    75,682.66x = 104,442.10 × 43,870.01
  4. Step 4: Simplify right side
    75,682.66x = 4,581,875,490.97
  5. Step 5: Solve for x
    x = 4,581,875,490.97/75,682.66
  6. Step 6: Final answer
    x = 60,540.63

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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.