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Finding the Fourth Proportional to 44,065, 66,097.50 and 11,233

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Solution

The fourth proportional to 44,065, 66,097.50 and 11,233 is: 16,849.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,065 : 66,097.50 = 11,233 : x
  2. Step 2: Convert to fraction form
    44,065/66,097.50 = 11,233/x
  3. Step 3: Cross multiply
    44,065x = 66,097.50 × 11,233
  4. Step 4: Simplify right side
    44,065x = 742,473,217.50
  5. Step 5: Solve for x
    x = 742,473,217.50/44,065
  6. Step 6: Final answer
    x = 16,849.50

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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.