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Finding the Fourth Proportional to 20,492.57, 30,739.14 and 5,701.16

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Solution

The fourth proportional to 20,492.57, 30,739.14 and 5,701.16 is: 8,551.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,492.57 : 30,739.14 = 5,701.16 : x
  2. Step 2: Convert to fraction form
    20,492.57/30,739.14 = 5,701.16/x
  3. Step 3: Cross multiply
    20,492.57x = 30,739.14 × 5,701.16
  4. Step 4: Simplify right side
    20,492.57x = 175,248,601.71
  5. Step 5: Solve for x
    x = 175,248,601.71/20,492.57
  6. Step 6: Final answer
    x = 8,551.81

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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.