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Finding the Fourth Proportional to 102,135.21, 153,227.42 and 32,014.52

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Solution

The fourth proportional to 102,135.21, 153,227.42 and 32,014.52 is: 48,029.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,135.21 : 153,227.42 = 32,014.52 : x
  2. Step 2: Convert to fraction form
    102,135.21/153,227.42 = 32,014.52/x
  3. Step 3: Cross multiply
    102,135.21x = 153,227.42 × 32,014.52
  4. Step 4: Simplify right side
    102,135.21x = 4,905,502,765.24
  5. Step 5: Solve for x
    x = 4,905,502,765.24/102,135.21
  6. Step 6: Final answer
    x = 48,029.50

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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.