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Finding the Fourth Proportional to 68,547.82, 102,820.65 and 21,800.02

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Solution

The fourth proportional to 68,547.82, 102,820.65 and 21,800.02 is: 32,699.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,547.82 : 102,820.65 = 21,800.02 : x
  2. Step 2: Convert to fraction form
    68,547.82/102,820.65 = 21,800.02/x
  3. Step 3: Cross multiply
    68,547.82x = 102,820.65 × 21,800.02
  4. Step 4: Simplify right side
    68,547.82x = 2,241,492,226.41
  5. Step 5: Solve for x
    x = 2,241,492,226.41/68,547.82
  6. Step 6: Final answer
    x = 32,699.69

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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.