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Finding the Fourth Proportional to 31,236.84, 46,855.08 and 10,460.16

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Solution

The fourth proportional to 31,236.84, 46,855.08 and 10,460.16 is: 15,690.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,236.84 : 46,855.08 = 10,460.16 : x
  2. Step 2: Convert to fraction form
    31,236.84/46,855.08 = 10,460.16/x
  3. Step 3: Cross multiply
    31,236.84x = 46,855.08 × 10,460.16
  4. Step 4: Simplify right side
    31,236.84x = 490,111,633.61
  5. Step 5: Solve for x
    x = 490,111,633.61/31,236.84
  6. Step 6: Final answer
    x = 15,690.18

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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.