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Finding the Fourth Proportional to 65,654.61, 90,476.94 and 47,721.21

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Solution

The fourth proportional to 65,654.61, 90,476.94 and 47,721.21 is: 65,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,654.61 : 90,476.94 = 47,721.21 : x
  2. Step 2: Convert to fraction form
    65,654.61/90,476.94 = 47,721.21/x
  3. Step 3: Cross multiply
    65,654.61x = 90,476.94 × 47,721.21
  4. Step 4: Simplify right side
    65,654.61x = 4,317,669,053.90
  5. Step 5: Solve for x
    x = 4,317,669,053.90/65,654.61
  6. Step 6: Final answer
    x = 65,763.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.