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Finding the Fourth Proportional to 51,998, 71,770.20 and 29,654.96

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Solution

The fourth proportional to 51,998, 71,770.20 and 29,654.96 is: 40,931.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,998 : 71,770.20 = 29,654.96 : x
  2. Step 2: Convert to fraction form
    51,998/71,770.20 = 29,654.96/x
  3. Step 3: Cross multiply
    51,998x = 71,770.20 × 29,654.96
  4. Step 4: Simplify right side
    51,998x = 2,128,342,410.19
  5. Step 5: Solve for x
    x = 2,128,342,410.19/51,998
  6. Step 6: Final answer
    x = 40,931.24

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Double scale
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1.5x scale

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.