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Finding the Fourth Proportional to 34,611.97, 47,782.88 and 27,731.12

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Solution

The fourth proportional to 34,611.97, 47,782.88 and 27,731.12 is: 38,283.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,611.97 : 47,782.88 = 27,731.12 : x
  2. Step 2: Convert to fraction form
    34,611.97/47,782.88 = 27,731.12/x
  3. Step 3: Cross multiply
    34,611.97x = 47,782.88 × 27,731.12
  4. Step 4: Simplify right side
    34,611.97x = 1,325,072,779.23
  5. Step 5: Solve for x
    x = 1,325,072,779.23/34,611.97
  6. Step 6: Final answer
    x = 38,283.66

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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.