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Finding the Fourth Proportional to 31,103.17, 42,918.08 and 18,356.90

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Solution

The fourth proportional to 31,103.17, 42,918.08 and 18,356.90 is: 25,329.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,103.17 : 42,918.08 = 18,356.90 : x
  2. Step 2: Convert to fraction form
    31,103.17/42,918.08 = 18,356.90/x
  3. Step 3: Cross multiply
    31,103.17x = 42,918.08 × 18,356.90
  4. Step 4: Simplify right side
    31,103.17x = 787,842,596.38
  5. Step 5: Solve for x
    x = 787,842,596.38/31,103.17
  6. Step 6: Final answer
    x = 25,329.98

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Why These Related Problems?

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