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Finding the Fourth Proportional to 52,100, 71,899.48 and 29,439.96

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Solution

The fourth proportional to 52,100, 71,899.48 and 29,439.96 is: 40,627.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,100 : 71,899.48 = 29,439.96 : x
  2. Step 2: Convert to fraction form
    52,100/71,899.48 = 29,439.96/x
  3. Step 3: Cross multiply
    52,100x = 71,899.48 × 29,439.96
  4. Step 4: Simplify right side
    52,100x = 2,116,717,815.22
  5. Step 5: Solve for x
    x = 2,116,717,815.22/52,100
  6. Step 6: Final answer
    x = 40,627.98

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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.