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Finding the Fourth Proportional to 75,582.58, 104,304.92 and 41,594.98

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Solution

The fourth proportional to 75,582.58, 104,304.92 and 41,594.98 is: 57,401.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,582.58 : 104,304.92 = 41,594.98 : x
  2. Step 2: Convert to fraction form
    75,582.58/104,304.92 = 41,594.98/x
  3. Step 3: Cross multiply
    75,582.58x = 104,304.92 × 41,594.98
  4. Step 4: Simplify right side
    75,582.58x = 4,338,561,061.30
  5. Step 5: Solve for x
    x = 4,338,561,061.30/75,582.58
  6. Step 6: Final answer
    x = 57,401.60

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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.