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Finding the Fourth Proportional to 61,223.80, 84,497.37 and 34,006

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Solution

The fourth proportional to 61,223.80, 84,497.37 and 34,006 is: 46,933.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,223.80 : 84,497.37 = 34,006 : x
  2. Step 2: Convert to fraction form
    61,223.80/84,497.37 = 34,006/x
  3. Step 3: Cross multiply
    61,223.80x = 84,497.37 × 34,006
  4. Step 4: Simplify right side
    61,223.80x = 2,873,417,564.22
  5. Step 5: Solve for x
    x = 2,873,417,564.22/61,223.80
  6. Step 6: Final answer
    x = 46,933.02

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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.