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Finding the Fourth Proportional to 42,109.98, 63,143.84 and 14,020.14

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Solution

The fourth proportional to 42,109.98, 63,143.84 and 14,020.14 is: 21,023.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,109.98 : 63,143.84 = 14,020.14 : x
  2. Step 2: Convert to fraction form
    42,109.98/63,143.84 = 14,020.14/x
  3. Step 3: Cross multiply
    42,109.98x = 63,143.84 × 14,020.14
  4. Step 4: Simplify right side
    42,109.98x = 885,285,476.94
  5. Step 5: Solve for x
    x = 885,285,476.94/42,109.98
  6. Step 6: Final answer
    x = 21,023.17

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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.