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Finding the Fourth Proportional to 31,216.33, 46,802.61 and 11,492.32

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Solution

The fourth proportional to 31,216.33, 46,802.61 and 11,492.32 is: 17,230.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216.33 : 46,802.61 = 11,492.32 : x
  2. Step 2: Convert to fraction form
    31,216.33/46,802.61 = 11,492.32/x
  3. Step 3: Cross multiply
    31,216.33x = 46,802.61 × 11,492.32
  4. Step 4: Simplify right side
    31,216.33x = 537,870,570.96
  5. Step 5: Solve for x
    x = 537,870,570.96/31,216.33
  6. Step 6: Final answer
    x = 17,230.43

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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.