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Finding the Fourth Proportional to 32,775.25, 45,229.89 and 17,871.25

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Solution

The fourth proportional to 32,775.25, 45,229.89 and 17,871.25 is: 24,662.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,775.25 : 45,229.89 = 17,871.25 : x
  2. Step 2: Convert to fraction form
    32,775.25/45,229.89 = 17,871.25/x
  3. Step 3: Cross multiply
    32,775.25x = 45,229.89 × 17,871.25
  4. Step 4: Simplify right side
    32,775.25x = 808,314,671.66
  5. Step 5: Solve for x
    x = 808,314,671.66/32,775.25
  6. Step 6: Final answer
    x = 24,662.35

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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.