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Finding the Fourth Proportional to 102,534.82, 153,801.30 and 32,414.15

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Solution

The fourth proportional to 102,534.82, 153,801.30 and 32,414.15 is: 48,620.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,534.82 : 153,801.30 = 32,414.15 : x
  2. Step 2: Convert to fraction form
    102,534.82/153,801.30 = 32,414.15/x
  3. Step 3: Cross multiply
    102,534.82x = 153,801.30 × 32,414.15
  4. Step 4: Simplify right side
    102,534.82x = 4,985,338,408.40
  5. Step 5: Solve for x
    x = 4,985,338,408.40/102,534.82
  6. Step 6: Final answer
    x = 48,620.93

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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.