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Finding the Fourth Proportional to 31,054.58, 42,853.88 and 16,907.38

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Solution

The fourth proportional to 31,054.58, 42,853.88 and 16,907.38 is: 23,331.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.58 : 42,853.88 = 16,907.38 : x
  2. Step 2: Convert to fraction form
    31,054.58/42,853.88 = 16,907.38/x
  3. Step 3: Cross multiply
    31,054.58x = 42,853.88 × 16,907.38
  4. Step 4: Simplify right side
    31,054.58x = 724,546,833.63
  5. Step 5: Solve for x
    x = 724,546,833.63/31,054.58
  6. Step 6: Final answer
    x = 23,331.40

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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.