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Finding the Fourth Proportional to 35,891.33, 49,548 and 27,806.96

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Solution

The fourth proportional to 35,891.33, 49,548 and 27,806.96 is: 38,387.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,891.33 : 49,548 = 27,806.96 : x
  2. Step 2: Convert to fraction form
    35,891.33/49,548 = 27,806.96/x
  3. Step 3: Cross multiply
    35,891.33x = 49,548 × 27,806.96
  4. Step 4: Simplify right side
    35,891.33x = 1,377,779,254.08
  5. Step 5: Solve for x
    x = 1,377,779,254.08/35,891.33
  6. Step 6: Final answer
    x = 38,387.52

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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.