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Finding the Fourth Proportional to 66,498.28, 99,784.14 and 27,083.14

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Solution

The fourth proportional to 66,498.28, 99,784.14 and 27,083.14 is: 40,639.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,498.28 : 99,784.14 = 27,083.14 : x
  2. Step 2: Convert to fraction form
    66,498.28/99,784.14 = 27,083.14/x
  3. Step 3: Cross multiply
    66,498.28x = 99,784.14 × 27,083.14
  4. Step 4: Simplify right side
    66,498.28x = 2,702,467,833.40
  5. Step 5: Solve for x
    x = 2,702,467,833.40/66,498.28
  6. Step 6: Final answer
    x = 40,639.67

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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.