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Finding the Fourth Proportional to 20,830.10, 31,244.86 and 5,035

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Solution

The fourth proportional to 20,830.10, 31,244.86 and 5,035 is: 7,552.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,830.10 : 31,244.86 = 5,035 : x
  2. Step 2: Convert to fraction form
    20,830.10/31,244.86 = 5,035/x
  3. Step 3: Cross multiply
    20,830.10x = 31,244.86 × 5,035
  4. Step 4: Simplify right side
    20,830.10x = 157,317,870.10
  5. Step 5: Solve for x
    x = 157,317,870.10/20,830.10
  6. Step 6: Final answer
    x = 7,552.43

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.