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Finding the Fourth Proportional to 61,114, 84,340.64 and 34,265.12

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Solution

The fourth proportional to 61,114, 84,340.64 and 34,265.12 is: 47,287.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,114 : 84,340.64 = 34,265.12 : x
  2. Step 2: Convert to fraction form
    61,114/84,340.64 = 34,265.12/x
  3. Step 3: Cross multiply
    61,114x = 84,340.64 × 34,265.12
  4. Step 4: Simplify right side
    61,114x = 2,889,942,150.48
  5. Step 5: Solve for x
    x = 2,889,942,150.48/61,114
  6. Step 6: Final answer
    x = 47,287.73

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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.