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Finding the Fourth Proportional to 20,614.50, 30,921.95 and 5,032.13

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Solution

The fourth proportional to 20,614.50, 30,921.95 and 5,032.13 is: 7,548.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,614.50 : 30,921.95 = 5,032.13 : x
  2. Step 2: Convert to fraction form
    20,614.50/30,921.95 = 5,032.13/x
  3. Step 3: Cross multiply
    20,614.50x = 30,921.95 × 5,032.13
  4. Step 4: Simplify right side
    20,614.50x = 155,603,130.22
  5. Step 5: Solve for x
    x = 155,603,130.22/20,614.50
  6. Step 6: Final answer
    x = 7,548.24

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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.