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Finding the Fourth Proportional to 31,085.92, 46,642.65 and 16,291.32

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Solution

The fourth proportional to 31,085.92, 46,642.65 and 16,291.32 is: 24,444.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,085.92 : 46,642.65 = 16,291.32 : x
  2. Step 2: Convert to fraction form
    31,085.92/46,642.65 = 16,291.32/x
  3. Step 3: Cross multiply
    31,085.92x = 46,642.65 × 16,291.32
  4. Step 4: Simplify right side
    31,085.92x = 759,870,336.80
  5. Step 5: Solve for x
    x = 759,870,336.80/31,085.92
  6. Step 6: Final answer
    x = 24,444.20

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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.