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Finding the Fourth Proportional to 31,884.68, 44,008.44 and 19,307

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Solution

The fourth proportional to 31,884.68, 44,008.44 and 19,307 is: 26,648.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,884.68 : 44,008.44 = 19,307 : x
  2. Step 2: Convert to fraction form
    31,884.68/44,008.44 = 19,307/x
  3. Step 3: Cross multiply
    31,884.68x = 44,008.44 × 19,307
  4. Step 4: Simplify right side
    31,884.68x = 849,670,951.08
  5. Step 5: Solve for x
    x = 849,670,951.08/31,884.68
  6. Step 6: Final answer
    x = 26,648.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.