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Finding the Fourth Proportional to 31,216.08, 46,802.21 and 11,492.10

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Solution

The fourth proportional to 31,216.08, 46,802.21 and 11,492.10 is: 17,230.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216.08 : 46,802.21 = 11,492.10 : x
  2. Step 2: Convert to fraction form
    31,216.08/46,802.21 = 11,492.10/x
  3. Step 3: Cross multiply
    31,216.08x = 46,802.21 × 11,492.10
  4. Step 4: Simplify right side
    31,216.08x = 537,855,620.08
  5. Step 5: Solve for x
    x = 537,855,620.08/31,216.08
  6. Step 6: Final answer
    x = 17,230.08

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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.