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Finding the Fourth Proportional to 33,001.26, 49,501.44 and 8,041.50

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Solution

The fourth proportional to 33,001.26, 49,501.44 and 8,041.50 is: 12,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,001.26 : 49,501.44 = 8,041.50 : x
  2. Step 2: Convert to fraction form
    33,001.26/49,501.44 = 8,041.50/x
  3. Step 3: Cross multiply
    33,001.26x = 49,501.44 × 8,041.50
  4. Step 4: Simplify right side
    33,001.26x = 398,065,829.76
  5. Step 5: Solve for x
    x = 398,065,829.76/33,001.26
  6. Step 6: Final answer
    x = 12,062.14

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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.