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Finding the Fourth Proportional to 42,109.46, 63,143.00 and 14,019.50

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Solution

The fourth proportional to 42,109.46, 63,143.00 and 14,019.50 is: 21,022.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,109.46 : 63,143.00 = 14,019.50 : x
  2. Step 2: Convert to fraction form
    42,109.46/63,143.00 = 14,019.50/x
  3. Step 3: Cross multiply
    42,109.46x = 63,143.00 × 14,019.50
  4. Step 4: Simplify right side
    42,109.46x = 885,232,902.69
  5. Step 5: Solve for x
    x = 885,232,902.69/42,109.46
  6. Step 6: Final answer
    x = 21,022.19

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Why These Related Problems?

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