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Finding the Fourth Proportional to 31,515.84, 43,484 and 20,026.56

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Solution

The fourth proportional to 31,515.84, 43,484 and 20,026.56 is: 27,631.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,515.84 : 43,484 = 20,026.56 : x
  2. Step 2: Convert to fraction form
    31,515.84/43,484 = 20,026.56/x
  3. Step 3: Cross multiply
    31,515.84x = 43,484 × 20,026.56
  4. Step 4: Simplify right side
    31,515.84x = 870,834,935.04
  5. Step 5: Solve for x
    x = 870,834,935.04/31,515.84
  6. Step 6: Final answer
    x = 27,631.66

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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.