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Finding the Fourth Proportional to 32,221, 44,472.66 and 19,656.28

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Solution

The fourth proportional to 32,221, 44,472.66 and 19,656.28 is: 27,130.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,221 : 44,472.66 = 19,656.28 : x
  2. Step 2: Convert to fraction form
    32,221/44,472.66 = 19,656.28/x
  3. Step 3: Cross multiply
    32,221x = 44,472.66 × 19,656.28
  4. Step 4: Simplify right side
    32,221x = 874,167,057.30
  5. Step 5: Solve for x
    x = 874,167,057.30/32,221
  6. Step 6: Final answer
    x = 27,130.35

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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.