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Finding the Fourth Proportional to 75,228.19, 103,814.48 and 41,238.12

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Solution

The fourth proportional to 75,228.19, 103,814.48 and 41,238.12 is: 56,908.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,228.19 : 103,814.48 = 41,238.12 : x
  2. Step 2: Convert to fraction form
    75,228.19/103,814.48 = 41,238.12/x
  3. Step 3: Cross multiply
    75,228.19x = 103,814.48 × 41,238.12
  4. Step 4: Simplify right side
    75,228.19x = 4,281,114,087.07
  5. Step 5: Solve for x
    x = 4,281,114,087.07/75,228.19
  6. Step 6: Final answer
    x = 56,908.38

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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.