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Finding the Fourth Proportional to 42,217.84, 63,327.30 and 11,053

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Solution

The fourth proportional to 42,217.84, 63,327.30 and 11,053 is: 16,579.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,217.84 : 63,327.30 = 11,053 : x
  2. Step 2: Convert to fraction form
    42,217.84/63,327.30 = 11,053/x
  3. Step 3: Cross multiply
    42,217.84x = 63,327.30 × 11,053
  4. Step 4: Simplify right side
    42,217.84x = 699,956,646.90
  5. Step 5: Solve for x
    x = 699,956,646.90/42,217.84
  6. Step 6: Final answer
    x = 16,579.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.