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Finding the Fourth Proportional to 20,530.39, 30,795.57 and 4,948

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Solution

The fourth proportional to 20,530.39, 30,795.57 and 4,948 is: 7,422.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,530.39 : 30,795.57 = 4,948 : x
  2. Step 2: Convert to fraction form
    20,530.39/30,795.57 = 4,948/x
  3. Step 3: Cross multiply
    20,530.39x = 30,795.57 × 4,948
  4. Step 4: Simplify right side
    20,530.39x = 152,376,480.36
  5. Step 5: Solve for x
    x = 152,376,480.36/20,530.39
  6. Step 6: Final answer
    x = 7,422.00

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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.