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Finding the Fourth Proportional to 61,710.84, 85,164.06 and 36,218.31

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Solution

The fourth proportional to 61,710.84, 85,164.06 and 36,218.31 is: 49,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,710.84 : 85,164.06 = 36,218.31 : x
  2. Step 2: Convert to fraction form
    61,710.84/85,164.06 = 36,218.31/x
  3. Step 3: Cross multiply
    61,710.84x = 85,164.06 × 36,218.31
  4. Step 4: Simplify right side
    61,710.84x = 3,084,498,657.24
  5. Step 5: Solve for x
    x = 3,084,498,657.24/61,710.84
  6. Step 6: Final answer
    x = 49,983.10

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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.