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Finding the Fourth Proportional to 61,802.82, 92,649.24 and 22,351.16

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Solution

The fourth proportional to 61,802.82, 92,649.24 and 22,351.16 is: 33,506.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,802.82 : 92,649.24 = 22,351.16 : x
  2. Step 2: Convert to fraction form
    61,802.82/92,649.24 = 22,351.16/x
  3. Step 3: Cross multiply
    61,802.82x = 92,649.24 × 22,351.16
  4. Step 4: Simplify right side
    61,802.82x = 2,070,817,523.87
  5. Step 5: Solve for x
    x = 2,070,817,523.87/61,802.82
  6. Step 6: Final answer
    x = 33,506.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.