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Finding the Fourth Proportional to 75,881.84, 104,727.50 and 42,350

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Solution

The fourth proportional to 75,881.84, 104,727.50 and 42,350 is: 58,448.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,881.84 : 104,727.50 = 42,350 : x
  2. Step 2: Convert to fraction form
    75,881.84/104,727.50 = 42,350/x
  3. Step 3: Cross multiply
    75,881.84x = 104,727.50 × 42,350
  4. Step 4: Simplify right side
    75,881.84x = 4,435,209,625
  5. Step 5: Solve for x
    x = 4,435,209,625/75,881.84
  6. Step 6: Final answer
    x = 58,448.89

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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.