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Finding the Fourth Proportional to 32,577.71, 48,868.58 and 11,231.64

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Solution

The fourth proportional to 32,577.71, 48,868.58 and 11,231.64 is: 16,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,577.71 : 48,868.58 = 11,231.64 : x
  2. Step 2: Convert to fraction form
    32,577.71/48,868.58 = 11,231.64/x
  3. Step 3: Cross multiply
    32,577.71x = 48,868.58 × 11,231.64
  4. Step 4: Simplify right side
    32,577.71x = 548,874,325.95
  5. Step 5: Solve for x
    x = 548,874,325.95/32,577.71
  6. Step 6: Final answer
    x = 16,848.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.