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Finding the Fourth Proportional to 68,547.60, 102,832.20 and 21,805.20

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Solution

The fourth proportional to 68,547.60, 102,832.20 and 21,805.20 is: 32,711.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,547.60 : 102,832.20 = 21,805.20 : x
  2. Step 2: Convert to fraction form
    68,547.60/102,832.20 = 21,805.20/x
  3. Step 3: Cross multiply
    68,547.60x = 102,832.20 × 21,805.20
  4. Step 4: Simplify right side
    68,547.60x = 2,242,276,687.44
  5. Step 5: Solve for x
    x = 2,242,276,687.44/68,547.60
  6. Step 6: Final answer
    x = 32,711.24

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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.