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Finding the Fourth Proportional to 31,026.29, 42,817.02 and 17,598.45

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Solution

The fourth proportional to 31,026.29, 42,817.02 and 17,598.45 is: 24,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,026.29 : 42,817.02 = 17,598.45 : x
  2. Step 2: Convert to fraction form
    31,026.29/42,817.02 = 17,598.45/x
  3. Step 3: Cross multiply
    31,026.29x = 42,817.02 × 17,598.45
  4. Step 4: Simplify right side
    31,026.29x = 753,513,185.62
  5. Step 5: Solve for x
    x = 753,513,185.62/31,026.29
  6. Step 6: Final answer
    x = 24,286.28

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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.