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Finding the Fourth Proportional to 75,228.84, 103,815.16 and 41,239.24

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Solution

The fourth proportional to 75,228.84, 103,815.16 and 41,239.24 is: 56,909.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,228.84 : 103,815.16 = 41,239.24 : x
  2. Step 2: Convert to fraction form
    75,228.84/103,815.16 = 41,239.24/x
  3. Step 3: Cross multiply
    75,228.84x = 103,815.16 × 41,239.24
  4. Step 4: Simplify right side
    75,228.84x = 4,281,258,298.88
  5. Step 5: Solve for x
    x = 4,281,258,298.88/75,228.84
  6. Step 6: Final answer
    x = 56,909.80

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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.