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Finding the Fourth Proportional to 35,357.08, 48,782.80 and 22,789.12

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Solution

The fourth proportional to 35,357.08, 48,782.80 and 22,789.12 is: 31,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,357.08 : 48,782.80 = 22,789.12 : x
  2. Step 2: Convert to fraction form
    35,357.08/48,782.80 = 22,789.12/x
  3. Step 3: Cross multiply
    35,357.08x = 48,782.80 × 22,789.12
  4. Step 4: Simplify right side
    35,357.08x = 1,111,717,083.14
  5. Step 5: Solve for x
    x = 1,111,717,083.14/35,357.08
  6. Step 6: Final answer
    x = 31,442.56

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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.