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Finding the Fourth Proportional to 31,065.44, 42,870.12 and 16,918.16

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Solution

The fourth proportional to 31,065.44, 42,870.12 and 16,918.16 is: 23,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,065.44 : 42,870.12 = 16,918.16 : x
  2. Step 2: Convert to fraction form
    31,065.44/42,870.12 = 16,918.16/x
  3. Step 3: Cross multiply
    31,065.44x = 42,870.12 × 16,918.16
  4. Step 4: Simplify right side
    31,065.44x = 725,283,549.38
  5. Step 5: Solve for x
    x = 725,283,549.38/31,065.44
  6. Step 6: Final answer
    x = 23,346.96

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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.