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Finding the Fourth Proportional to 30,862.56, 46,301.16 and 10,086

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Solution

The fourth proportional to 30,862.56, 46,301.16 and 10,086 is: 15,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,862.56 : 46,301.16 = 10,086 : x
  2. Step 2: Convert to fraction form
    30,862.56/46,301.16 = 10,086/x
  3. Step 3: Cross multiply
    30,862.56x = 46,301.16 × 10,086
  4. Step 4: Simplify right side
    30,862.56x = 466,993,499.76
  5. Step 5: Solve for x
    x = 466,993,499.76/30,862.56
  6. Step 6: Final answer
    x = 15,131.39

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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.