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Finding the Fourth Proportional to 31,996, 48,237.60 and 29,740.96

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Solution

The fourth proportional to 31,996, 48,237.60 and 29,740.96 is: 44,837.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,996 : 48,237.60 = 29,740.96 : x
  2. Step 2: Convert to fraction form
    31,996/48,237.60 = 29,740.96/x
  3. Step 3: Cross multiply
    31,996x = 48,237.60 × 29,740.96
  4. Step 4: Simplify right side
    31,996x = 1,434,632,532.10
  5. Step 5: Solve for x
    x = 1,434,632,532.10/31,996
  6. Step 6: Final answer
    x = 44,837.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.