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Finding the Fourth Proportional to 44,559, 66,838.50 and 11,727

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Solution

The fourth proportional to 44,559, 66,838.50 and 11,727 is: 17,590.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,559 : 66,838.50 = 11,727 : x
  2. Step 2: Convert to fraction form
    44,559/66,838.50 = 11,727/x
  3. Step 3: Cross multiply
    44,559x = 66,838.50 × 11,727
  4. Step 4: Simplify right side
    44,559x = 783,815,089.50
  5. Step 5: Solve for x
    x = 783,815,089.50/44,559
  6. Step 6: Final answer
    x = 17,590.50

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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.