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Finding the Fourth Proportional to 61,464.77, 84,823.03 and 34,608.30

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Solution

The fourth proportional to 61,464.77, 84,823.03 and 34,608.30 is: 47,760.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,464.77 : 84,823.03 = 34,608.30 : x
  2. Step 2: Convert to fraction form
    61,464.77/84,823.03 = 34,608.30/x
  3. Step 3: Cross multiply
    61,464.77x = 84,823.03 × 34,608.30
  4. Step 4: Simplify right side
    61,464.77x = 2,935,580,869.15
  5. Step 5: Solve for x
    x = 2,935,580,869.15/61,464.77
  6. Step 6: Final answer
    x = 47,760.38

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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.