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Finding the Fourth Proportional to 61,162.49, 84,406.94 and 34,307.49

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Solution

The fourth proportional to 61,162.49, 84,406.94 and 34,307.49 is: 47,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,162.49 : 84,406.94 = 34,307.49 : x
  2. Step 2: Convert to fraction form
    61,162.49/84,406.94 = 34,307.49/x
  3. Step 3: Cross multiply
    61,162.49x = 84,406.94 × 34,307.49
  4. Step 4: Simplify right side
    61,162.49x = 2,895,790,078.44
  5. Step 5: Solve for x
    x = 2,895,790,078.44/61,162.49
  6. Step 6: Final answer
    x = 47,345.85

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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.