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Finding the Fourth Proportional to 20,202.59, 30,303.40 and 5,411.50

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Solution

The fourth proportional to 20,202.59, 30,303.40 and 5,411.50 is: 8,117.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,202.59 : 30,303.40 = 5,411.50 : x
  2. Step 2: Convert to fraction form
    20,202.59/30,303.40 = 5,411.50/x
  3. Step 3: Cross multiply
    20,202.59x = 30,303.40 × 5,411.50
  4. Step 4: Simplify right side
    20,202.59x = 163,986,849.10
  5. Step 5: Solve for x
    x = 163,986,849.10/20,202.59
  6. Step 6: Final answer
    x = 8,117.12

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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.