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Finding the Fourth Proportional to 83,580.69, 125,369.63 and 33,659.54

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Solution

The fourth proportional to 83,580.69, 125,369.63 and 33,659.54 is: 50,488.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,580.69 : 125,369.63 = 33,659.54 : x
  2. Step 2: Convert to fraction form
    83,580.69/125,369.63 = 33,659.54/x
  3. Step 3: Cross multiply
    83,580.69x = 125,369.63 × 33,659.54
  4. Step 4: Simplify right side
    83,580.69x = 4,219,884,075.77
  5. Step 5: Solve for x
    x = 4,219,884,075.77/83,580.69
  6. Step 6: Final answer
    x = 50,488.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.