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Finding the Fourth Proportional to 73,133.48, 109,720.87 and 20,543.42

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Solution

The fourth proportional to 73,133.48, 109,720.87 and 20,543.42 is: 30,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,133.48 : 109,720.87 = 20,543.42 : x
  2. Step 2: Convert to fraction form
    73,133.48/109,720.87 = 20,543.42/x
  3. Step 3: Cross multiply
    73,133.48x = 109,720.87 × 20,543.42
  4. Step 4: Simplify right side
    73,133.48x = 2,254,041,915.18
  5. Step 5: Solve for x
    x = 2,254,041,915.18/73,133.48
  6. Step 6: Final answer
    x = 30,820.93

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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.