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Finding the Fourth Proportional to 42,061.98, 63,069.32 and 13,967

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Solution

The fourth proportional to 42,061.98, 63,069.32 and 13,967 is: 20,942.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,061.98 : 63,069.32 = 13,967 : x
  2. Step 2: Convert to fraction form
    42,061.98/63,069.32 = 13,967/x
  3. Step 3: Cross multiply
    42,061.98x = 63,069.32 × 13,967
  4. Step 4: Simplify right side
    42,061.98x = 880,889,192.44
  5. Step 5: Solve for x
    x = 880,889,192.44/42,061.98
  6. Step 6: Final answer
    x = 20,942.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.