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Finding the Fourth Proportional to 34,020.56, 46,933.08 and 19,865

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Solution

The fourth proportional to 34,020.56, 46,933.08 and 19,865 is: 27,404.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,020.56 : 46,933.08 = 19,865 : x
  2. Step 2: Convert to fraction form
    34,020.56/46,933.08 = 19,865/x
  3. Step 3: Cross multiply
    34,020.56x = 46,933.08 × 19,865
  4. Step 4: Simplify right side
    34,020.56x = 932,325,634.20
  5. Step 5: Solve for x
    x = 932,325,634.20/34,020.56
  6. Step 6: Final answer
    x = 27,404.77

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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.