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Finding the Fourth Proportional to 32,221, 44,464.98 and 19,648.36

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Solution

The fourth proportional to 32,221, 44,464.98 and 19,648.36 is: 27,114.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,221 : 44,464.98 = 19,648.36 : x
  2. Step 2: Convert to fraction form
    32,221/44,464.98 = 19,648.36/x
  3. Step 3: Cross multiply
    32,221x = 44,464.98 × 19,648.36
  4. Step 4: Simplify right side
    32,221x = 873,663,934.43
  5. Step 5: Solve for x
    x = 873,663,934.43/32,221
  6. Step 6: Final answer
    x = 27,114.74

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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.