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Finding the Fourth Proportional to 75,115.84, 103,658.40 and 41,582.08

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Solution

The fourth proportional to 75,115.84, 103,658.40 and 41,582.08 is: 57,382.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,115.84 : 103,658.40 = 41,582.08 : x
  2. Step 2: Convert to fraction form
    75,115.84/103,658.40 = 41,582.08/x
  3. Step 3: Cross multiply
    75,115.84x = 103,658.40 × 41,582.08
  4. Step 4: Simplify right side
    75,115.84x = 4,310,331,881.47
  5. Step 5: Solve for x
    x = 4,310,331,881.47/75,115.84
  6. Step 6: Final answer
    x = 57,382.46

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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.