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Finding the Fourth Proportional to 31,611.74, 47,410.31 and 11,892.29

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Solution

The fourth proportional to 31,611.74, 47,410.31 and 11,892.29 is: 17,835.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,611.74 : 47,410.31 = 11,892.29 : x
  2. Step 2: Convert to fraction form
    31,611.74/47,410.31 = 11,892.29/x
  3. Step 3: Cross multiply
    31,611.74x = 47,410.31 × 11,892.29
  4. Step 4: Simplify right side
    31,611.74x = 563,816,948.19
  5. Step 5: Solve for x
    x = 563,816,948.19/31,611.74
  6. Step 6: Final answer
    x = 17,835.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.