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Finding the Fourth Proportional to 32,776.32, 45,232.80 and 17,872.32

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Solution

The fourth proportional to 32,776.32, 45,232.80 and 17,872.32 is: 24,664.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,776.32 : 45,232.80 = 17,872.32 : x
  2. Step 2: Convert to fraction form
    32,776.32/45,232.80 = 17,872.32/x
  3. Step 3: Cross multiply
    32,776.32x = 45,232.80 × 17,872.32
  4. Step 4: Simplify right side
    32,776.32x = 808,415,076.10
  5. Step 5: Solve for x
    x = 808,415,076.10/32,776.32
  6. Step 6: Final answer
    x = 24,664.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.