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Finding the Fourth Proportional to 107,838.88, 161,750.32 and 41,284.96

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Solution

The fourth proportional to 107,838.88, 161,750.32 and 41,284.96 is: 61,924.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,838.88 : 161,750.32 = 41,284.96 : x
  2. Step 2: Convert to fraction form
    107,838.88/161,750.32 = 41,284.96/x
  3. Step 3: Cross multiply
    107,838.88x = 161,750.32 × 41,284.96
  4. Step 4: Simplify right side
    107,838.88x = 6,677,855,491.19
  5. Step 5: Solve for x
    x = 6,677,855,491.19/107,838.88
  6. Step 6: Final answer
    x = 61,924.38

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.