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Finding the Fourth Proportional to 83,501.40, 125,220.98 and 33,564.67

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Solution

The fourth proportional to 83,501.40, 125,220.98 and 33,564.67 is: 50,334.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,501.40 : 125,220.98 = 33,564.67 : x
  2. Step 2: Convert to fraction form
    83,501.40/125,220.98 = 33,564.67/x
  3. Step 3: Cross multiply
    83,501.40x = 125,220.98 × 33,564.67
  4. Step 4: Simplify right side
    83,501.40x = 4,203,000,641.64
  5. Step 5: Solve for x
    x = 4,203,000,641.64/83,501.40
  6. Step 6: Final answer
    x = 50,334.49

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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.