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Finding the Fourth Proportional to 72,683.88, 109,017.39 and 20,097.47

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Solution

The fourth proportional to 72,683.88, 109,017.39 and 20,097.47 is: 30,143.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,683.88 : 109,017.39 = 20,097.47 : x
  2. Step 2: Convert to fraction form
    72,683.88/109,017.39 = 20,097.47/x
  3. Step 3: Cross multiply
    72,683.88x = 109,017.39 × 20,097.47
  4. Step 4: Simplify right side
    72,683.88x = 2,190,973,459.69
  5. Step 5: Solve for x
    x = 2,190,973,459.69/72,683.88
  6. Step 6: Final answer
    x = 30,143.87

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1.5x scale

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.