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Finding the Fourth Proportional to 75,633.84, 104,374.71 and 41,642.46

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Solution

The fourth proportional to 75,633.84, 104,374.71 and 41,642.46 is: 57,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,633.84 : 104,374.71 = 41,642.46 : x
  2. Step 2: Convert to fraction form
    75,633.84/104,374.71 = 41,642.46/x
  3. Step 3: Cross multiply
    75,633.84x = 104,374.71 × 41,642.46
  4. Step 4: Simplify right side
    75,633.84x = 4,346,419,686.19
  5. Step 5: Solve for x
    x = 4,346,419,686.19/75,633.84
  6. Step 6: Final answer
    x = 57,466.60

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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.