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Finding the Fourth Proportional to 110,903.31, 166,330.53 and 32,000.40

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Solution

The fourth proportional to 110,903.31, 166,330.53 and 32,000.40 is: 47,993.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,903.31 : 166,330.53 = 32,000.40 : x
  2. Step 2: Convert to fraction form
    110,903.31/166,330.53 = 32,000.40/x
  3. Step 3: Cross multiply
    110,903.31x = 166,330.53 × 32,000.40
  4. Step 4: Simplify right side
    110,903.31x = 5,322,643,492.21
  5. Step 5: Solve for x
    x = 5,322,643,492.21/110,903.31
  6. Step 6: Final answer
    x = 47,993.55

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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.