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Finding the Fourth Proportional to 31,069.98, 42,858.42 and 21,985.14

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Solution

The fourth proportional to 31,069.98, 42,858.42 and 21,985.14 is: 30,326.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,069.98 : 42,858.42 = 21,985.14 : x
  2. Step 2: Convert to fraction form
    31,069.98/42,858.42 = 21,985.14/x
  3. Step 3: Cross multiply
    31,069.98x = 42,858.42 × 21,985.14
  4. Step 4: Simplify right side
    31,069.98x = 942,248,363.88
  5. Step 5: Solve for x
    x = 942,248,363.88/31,069.98
  6. Step 6: Final answer
    x = 30,326.65

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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.