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Finding the Fourth Proportional to 31,054.33, 42,855.75 and 16,907.95

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Solution

The fourth proportional to 31,054.33, 42,855.75 and 16,907.95 is: 23,333.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,054.33 : 42,855.75 = 16,907.95 : x
  2. Step 2: Convert to fraction form
    31,054.33/42,855.75 = 16,907.95/x
  3. Step 3: Cross multiply
    31,054.33x = 42,855.75 × 16,907.95
  4. Step 4: Simplify right side
    31,054.33x = 724,602,878.21
  5. Step 5: Solve for x
    x = 724,602,878.21/31,054.33
  6. Step 6: Final answer
    x = 23,333.39

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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.