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Finding the Fourth Proportional to 27,068.50, 40,603.35 and 9,299.14

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Solution

The fourth proportional to 27,068.50, 40,603.35 and 9,299.14 is: 13,948.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,068.50 : 40,603.35 = 9,299.14 : x
  2. Step 2: Convert to fraction form
    27,068.50/40,603.35 = 9,299.14/x
  3. Step 3: Cross multiply
    27,068.50x = 40,603.35 × 9,299.14
  4. Step 4: Simplify right side
    27,068.50x = 377,576,236.12
  5. Step 5: Solve for x
    x = 377,576,236.12/27,068.50
  6. Step 6: Final answer
    x = 13,948.92

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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.