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Finding the Fourth Proportional to 42,214.50, 63,321.81 and 14,512.50

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Solution

The fourth proportional to 42,214.50, 63,321.81 and 14,512.50 is: 21,768.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,214.50 : 63,321.81 = 14,512.50 : x
  2. Step 2: Convert to fraction form
    42,214.50/63,321.81 = 14,512.50/x
  3. Step 3: Cross multiply
    42,214.50x = 63,321.81 × 14,512.50
  4. Step 4: Simplify right side
    42,214.50x = 918,957,767.63
  5. Step 5: Solve for x
    x = 918,957,767.63/42,214.50
  6. Step 6: Final answer
    x = 21,768.77

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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.