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Finding the Fourth Proportional to 103,681.69, 155,480.68 and 40,492.78

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Solution

The fourth proportional to 103,681.69, 155,480.68 and 40,492.78 is: 60,722.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,681.69 : 155,480.68 = 40,492.78 : x
  2. Step 2: Convert to fraction form
    103,681.69/155,480.68 = 40,492.78/x
  3. Step 3: Cross multiply
    103,681.69x = 155,480.68 × 40,492.78
  4. Step 4: Simplify right side
    103,681.69x = 6,295,844,969.49
  5. Step 5: Solve for x
    x = 6,295,844,969.49/103,681.69
  6. Step 6: Final answer
    x = 60,722.82

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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.