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Finding the Fourth Proportional to 102,177.88, 153,286.26 and 32,038.36

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Solution

The fourth proportional to 102,177.88, 153,286.26 and 32,038.36 is: 48,063.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,177.88 : 153,286.26 = 32,038.36 : x
  2. Step 2: Convert to fraction form
    102,177.88/153,286.26 = 32,038.36/x
  3. Step 3: Cross multiply
    102,177.88x = 153,286.26 × 32,038.36
  4. Step 4: Simplify right side
    102,177.88x = 4,911,040,380.93
  5. Step 5: Solve for x
    x = 4,911,040,380.93/102,177.88
  6. Step 6: Final answer
    x = 48,063.64

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