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Finding the Fourth Proportional to 47,166.72, 65,063.04 and 29,472

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Solution

The fourth proportional to 47,166.72, 65,063.04 and 29,472 is: 40,654.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,166.72 : 65,063.04 = 29,472 : x
  2. Step 2: Convert to fraction form
    47,166.72/65,063.04 = 29,472/x
  3. Step 3: Cross multiply
    47,166.72x = 65,063.04 × 29,472
  4. Step 4: Simplify right side
    47,166.72x = 1,917,537,914.88
  5. Step 5: Solve for x
    x = 1,917,537,914.88/47,166.72
  6. Step 6: Final answer
    x = 40,654.47

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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.