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Finding the Fourth Proportional to 42,472.54, 63,684.21 and 14,383.22

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Solution

The fourth proportional to 42,472.54, 63,684.21 and 14,383.22 is: 21,566.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,472.54 : 63,684.21 = 14,383.22 : x
  2. Step 2: Convert to fraction form
    42,472.54/63,684.21 = 14,383.22/x
  3. Step 3: Cross multiply
    42,472.54x = 63,684.21 × 14,383.22
  4. Step 4: Simplify right side
    42,472.54x = 915,984,002.96
  5. Step 5: Solve for x
    x = 915,984,002.96/42,472.54
  6. Step 6: Final answer
    x = 21,566.50

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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.