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Finding the Fourth Proportional to 68,535.82, 102,802.65 and 21,788.02

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Solution

The fourth proportional to 68,535.82, 102,802.65 and 21,788.02 is: 32,681.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,535.82 : 102,802.65 = 21,788.02 : x
  2. Step 2: Convert to fraction form
    68,535.82/102,802.65 = 21,788.02/x
  3. Step 3: Cross multiply
    68,535.82x = 102,802.65 × 21,788.02
  4. Step 4: Simplify right side
    68,535.82x = 2,239,866,194.25
  5. Step 5: Solve for x
    x = 2,239,866,194.25/68,535.82
  6. Step 6: Final answer
    x = 32,681.69

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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.