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Finding the Fourth Proportional to 31,328.47, 46,902.45 and 20,809

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Solution

The fourth proportional to 31,328.47, 46,902.45 and 20,809 is: 31,153.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,328.47 : 46,902.45 = 20,809 : x
  2. Step 2: Convert to fraction form
    31,328.47/46,902.45 = 20,809/x
  3. Step 3: Cross multiply
    31,328.47x = 46,902.45 × 20,809
  4. Step 4: Simplify right side
    31,328.47x = 975,993,082.05
  5. Step 5: Solve for x
    x = 975,993,082.05/31,328.47
  6. Step 6: Final answer
    x = 31,153.55

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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.