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Finding the Fourth Proportional to 31,290.48, 46,906.32 and 10,499.40

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Solution

The fourth proportional to 31,290.48, 46,906.32 and 10,499.40 is: 15,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,290.48 : 46,906.32 = 10,499.40 : x
  2. Step 2: Convert to fraction form
    31,290.48/46,906.32 = 10,499.40/x
  3. Step 3: Cross multiply
    31,290.48x = 46,906.32 × 10,499.40
  4. Step 4: Simplify right side
    31,290.48x = 492,488,216.21
  5. Step 5: Solve for x
    x = 492,488,216.21/31,290.48
  6. Step 6: Final answer
    x = 15,739.23

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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.