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Finding the Fourth Proportional to 75,894.40, 113,839.20 and 34,341.44

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Solution

The fourth proportional to 75,894.40, 113,839.20 and 34,341.44 is: 51,511.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,894.40 : 113,839.20 = 34,341.44 : x
  2. Step 2: Convert to fraction form
    75,894.40/113,839.20 = 34,341.44/x
  3. Step 3: Cross multiply
    75,894.40x = 113,839.20 × 34,341.44
  4. Step 4: Simplify right side
    75,894.40x = 3,909,402,056.45
  5. Step 5: Solve for x
    x = 3,909,402,056.45/75,894.40
  6. Step 6: Final answer
    x = 51,511.07

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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.