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Finding the Fourth Proportional to 31,184.64, 46,776.84 and 10,142.16

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Solution

The fourth proportional to 31,184.64, 46,776.84 and 10,142.16 is: 15,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,184.64 : 46,776.84 = 10,142.16 : x
  2. Step 2: Convert to fraction form
    31,184.64/46,776.84 = 10,142.16/x
  3. Step 3: Cross multiply
    31,184.64x = 46,776.84 × 10,142.16
  4. Step 4: Simplify right side
    31,184.64x = 474,418,195.57
  5. Step 5: Solve for x
    x = 474,418,195.57/31,184.64
  6. Step 6: Final answer
    x = 15,213.20

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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.