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Finding the Fourth Proportional to 31,095.83, 46,643.60 and 8,909.19

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Solution

The fourth proportional to 31,095.83, 46,643.60 and 8,909.19 is: 13,363.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,095.83 : 46,643.60 = 8,909.19 : x
  2. Step 2: Convert to fraction form
    31,095.83/46,643.60 = 8,909.19/x
  3. Step 3: Cross multiply
    31,095.83x = 46,643.60 × 8,909.19
  4. Step 4: Simplify right side
    31,095.83x = 415,556,716.96
  5. Step 5: Solve for x
    x = 415,556,716.96/31,095.83
  6. Step 6: Final answer
    x = 13,363.74

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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.