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Finding the Fourth Proportional to 103,684.94, 155,485.56 and 40,496.03

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Solution

The fourth proportional to 103,684.94, 155,485.56 and 40,496.03 is: 60,727.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684.94 : 155,485.56 = 40,496.03 : x
  2. Step 2: Convert to fraction form
    103,684.94/155,485.56 = 40,496.03/x
  3. Step 3: Cross multiply
    103,684.94x = 155,485.56 × 40,496.03
  4. Step 4: Simplify right side
    103,684.94x = 6,296,547,902.33
  5. Step 5: Solve for x
    x = 6,296,547,902.33/103,684.94
  6. Step 6: Final answer
    x = 60,727.70

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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.