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Finding the Fourth Proportional to 22,275.58, 33,419.50 and 19,827.50

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Solution

The fourth proportional to 22,275.58, 33,419.50 and 19,827.50 is: 29,746.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,275.58 : 33,419.50 = 19,827.50 : x
  2. Step 2: Convert to fraction form
    22,275.58/33,419.50 = 19,827.50/x
  3. Step 3: Cross multiply
    22,275.58x = 33,419.50 × 19,827.50
  4. Step 4: Simplify right side
    22,275.58x = 662,625,136.25
  5. Step 5: Solve for x
    x = 662,625,136.25/22,275.58
  6. Step 6: Final answer
    x = 29,746.71

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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.