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Finding the Fourth Proportional to 42,213.50, 63,320.31 and 14,511.50

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Solution

The fourth proportional to 42,213.50, 63,320.31 and 14,511.50 is: 21,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,213.50 : 63,320.31 = 14,511.50 : x
  2. Step 2: Convert to fraction form
    42,213.50/63,320.31 = 14,511.50/x
  3. Step 3: Cross multiply
    42,213.50x = 63,320.31 × 14,511.50
  4. Step 4: Simplify right side
    42,213.50x = 918,872,678.57
  5. Step 5: Solve for x
    x = 918,872,678.57/42,213.50
  6. Step 6: Final answer
    x = 21,767.27

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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.