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Finding the Fourth Proportional to 102,134.96, 153,227.05 and 32,014.27

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Solution

The fourth proportional to 102,134.96, 153,227.05 and 32,014.27 is: 48,029.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,134.96 : 153,227.05 = 32,014.27 : x
  2. Step 2: Convert to fraction form
    102,134.96/153,227.05 = 32,014.27/x
  3. Step 3: Cross multiply
    102,134.96x = 153,227.05 × 32,014.27
  4. Step 4: Simplify right side
    102,134.96x = 4,905,452,261.50
  5. Step 5: Solve for x
    x = 4,905,452,261.50/102,134.96
  6. Step 6: Final answer
    x = 48,029.12

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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.