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Finding the Fourth Proportional to 103,683.69, 155,483.68 and 40,494.78

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Solution

The fourth proportional to 103,683.69, 155,483.68 and 40,494.78 is: 60,725.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,683.69 : 155,483.68 = 40,494.78 : x
  2. Step 2: Convert to fraction form
    103,683.69/155,483.68 = 40,494.78/x
  3. Step 3: Cross multiply
    103,683.69x = 155,483.68 × 40,494.78
  4. Step 4: Simplify right side
    103,683.69x = 6,296,277,415.19
  5. Step 5: Solve for x
    x = 6,296,277,415.19/103,683.69
  6. Step 6: Final answer
    x = 60,725.82

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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.