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Finding the Fourth Proportional to 103,696.47, 155,567.39 and 33,582.87

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Solution

The fourth proportional to 103,696.47, 155,567.39 and 33,582.87 is: 50,381.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,696.47 : 155,567.39 = 33,582.87 : x
  2. Step 2: Convert to fraction form
    103,696.47/155,567.39 = 33,582.87/x
  3. Step 3: Cross multiply
    103,696.47x = 155,567.39 × 33,582.87
  4. Step 4: Simplify right side
    103,696.47x = 5,224,399,266.69
  5. Step 5: Solve for x
    x = 5,224,399,266.69/103,696.47
  6. Step 6: Final answer
    x = 50,381.65

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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.