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Finding the Fourth Proportional to 45,032.56, 67,547.22 and 13,867

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Solution

The fourth proportional to 45,032.56, 67,547.22 and 13,867 is: 20,800.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,032.56 : 67,547.22 = 13,867 : x
  2. Step 2: Convert to fraction form
    45,032.56/67,547.22 = 13,867/x
  3. Step 3: Cross multiply
    45,032.56x = 67,547.22 × 13,867
  4. Step 4: Simplify right side
    45,032.56x = 936,677,299.74
  5. Step 5: Solve for x
    x = 936,677,299.74/45,032.56
  6. Step 6: Final answer
    x = 20,800.00

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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.