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Finding the Fourth Proportional to 75,691, 113,534.34 and 23,092.84

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Solution

The fourth proportional to 75,691, 113,534.34 and 23,092.84 is: 34,638.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,691 : 113,534.34 = 23,092.84 : x
  2. Step 2: Convert to fraction form
    75,691/113,534.34 = 23,092.84/x
  3. Step 3: Cross multiply
    75,691x = 113,534.34 × 23,092.84
  4. Step 4: Simplify right side
    75,691x = 2,621,830,348.13
  5. Step 5: Solve for x
    x = 2,621,830,348.13/75,691
  6. Step 6: Final answer
    x = 34,638.60

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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.