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Finding the Fourth Proportional to 61,464.60, 84,822.84 and 34,605

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Solution

The fourth proportional to 61,464.60, 84,822.84 and 34,605 is: 47,755.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,464.60 : 84,822.84 = 34,605 : x
  2. Step 2: Convert to fraction form
    61,464.60/84,822.84 = 34,605/x
  3. Step 3: Cross multiply
    61,464.60x = 84,822.84 × 34,605
  4. Step 4: Simplify right side
    61,464.60x = 2,935,294,378.20
  5. Step 5: Solve for x
    x = 2,935,294,378.20/61,464.60
  6. Step 6: Final answer
    x = 47,755.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.