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Finding the Fourth Proportional to 31,065.81, 42,875.34 and 17,634.28

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Solution

The fourth proportional to 31,065.81, 42,875.34 and 17,634.28 is: 24,337.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,065.81 : 42,875.34 = 17,634.28 : x
  2. Step 2: Convert to fraction form
    31,065.81/42,875.34 = 17,634.28/x
  3. Step 3: Cross multiply
    31,065.81x = 42,875.34 × 17,634.28
  4. Step 4: Simplify right side
    31,065.81x = 756,075,750.66
  5. Step 5: Solve for x
    x = 756,075,750.66/31,065.81
  6. Step 6: Final answer
    x = 24,337.87

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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.