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Finding the Fourth Proportional to 61,459.31, 84,815.42 and 34,602.75

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Solution

The fourth proportional to 61,459.31, 84,815.42 and 34,602.75 is: 47,752.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,459.31 : 84,815.42 = 34,602.75 : x
  2. Step 2: Convert to fraction form
    61,459.31/84,815.42 = 34,602.75/x
  3. Step 3: Cross multiply
    61,459.31x = 84,815.42 × 34,602.75
  4. Step 4: Simplify right side
    61,459.31x = 2,934,846,601.39
  5. Step 5: Solve for x
    x = 2,934,846,601.39/61,459.31
  6. Step 6: Final answer
    x = 47,752.68

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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.