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Finding the Fourth Proportional to 31,106, 42,926.28 and 19,928

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Solution

The fourth proportional to 31,106, 42,926.28 and 19,928 is: 27,500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,106 : 42,926.28 = 19,928 : x
  2. Step 2: Convert to fraction form
    31,106/42,926.28 = 19,928/x
  3. Step 3: Cross multiply
    31,106x = 42,926.28 × 19,928
  4. Step 4: Simplify right side
    31,106x = 855,434,907.84
  5. Step 5: Solve for x
    x = 855,434,907.84/31,106
  6. Step 6: Final answer
    x = 27,500.64

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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.