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Finding the Fourth Proportional to 31,111.80, 46,659.10 and 8,617.10

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Solution

The fourth proportional to 31,111.80, 46,659.10 and 8,617.10 is: 12,923.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,111.80 : 46,659.10 = 8,617.10 : x
  2. Step 2: Convert to fraction form
    31,111.80/46,659.10 = 8,617.10/x
  3. Step 3: Cross multiply
    31,111.80x = 46,659.10 × 8,617.10
  4. Step 4: Simplify right side
    31,111.80x = 402,066,130.61
  5. Step 5: Solve for x
    x = 402,066,130.61/31,111.80
  6. Step 6: Final answer
    x = 12,923.27

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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.