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Finding the Fourth Proportional to 31,282.68, 46,922.40 and 7,909.32

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Solution

The fourth proportional to 31,282.68, 46,922.40 and 7,909.32 is: 11,863.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,282.68 : 46,922.40 = 7,909.32 : x
  2. Step 2: Convert to fraction form
    31,282.68/46,922.40 = 7,909.32/x
  3. Step 3: Cross multiply
    31,282.68x = 46,922.40 × 7,909.32
  4. Step 4: Simplify right side
    31,282.68x = 371,124,276.77
  5. Step 5: Solve for x
    x = 371,124,276.77/31,282.68
  6. Step 6: Final answer
    x = 11,863.57

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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.