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Finding the Fourth Proportional to 31,178.88, 46,741.59 and 11,447.28

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Solution

The fourth proportional to 31,178.88, 46,741.59 and 11,447.28 is: 17,161.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,178.88 : 46,741.59 = 11,447.28 : x
  2. Step 2: Convert to fraction form
    31,178.88/46,741.59 = 11,447.28/x
  3. Step 3: Cross multiply
    31,178.88x = 46,741.59 × 11,447.28
  4. Step 4: Simplify right side
    31,178.88x = 535,064,068.38
  5. Step 5: Solve for x
    x = 535,064,068.38/31,178.88
  6. Step 6: Final answer
    x = 17,161.11

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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.