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Finding the Fourth Proportional to 33,710.65, 46,500.65 and 21,781.02

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Solution

The fourth proportional to 33,710.65, 46,500.65 and 21,781.02 is: 30,044.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,710.65 : 46,500.65 = 21,781.02 : x
  2. Step 2: Convert to fraction form
    33,710.65/46,500.65 = 21,781.02/x
  3. Step 3: Cross multiply
    33,710.65x = 46,500.65 × 21,781.02
  4. Step 4: Simplify right side
    33,710.65x = 1,012,831,246.25
  5. Step 5: Solve for x
    x = 1,012,831,246.25/33,710.65
  6. Step 6: Final answer
    x = 30,044.85

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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.