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Finding the Fourth Proportional to 61,416.29, 84,753.49 and 34,558.78

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Solution

The fourth proportional to 61,416.29, 84,753.49 and 34,558.78 is: 47,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,416.29 : 84,753.49 = 34,558.78 : x
  2. Step 2: Convert to fraction form
    61,416.29/84,753.49 = 34,558.78/x
  3. Step 3: Cross multiply
    61,416.29x = 84,753.49 × 34,558.78
  4. Step 4: Simplify right side
    61,416.29x = 2,928,977,215.14
  5. Step 5: Solve for x
    x = 2,928,977,215.14/61,416.29
  6. Step 6: Final answer
    x = 47,690.56

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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.