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Finding the Fourth Proportional to 76,408.66, 114,657.60 and 32,032

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Solution

The fourth proportional to 76,408.66, 114,657.60 and 32,032 is: 48,066.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,408.66 : 114,657.60 = 32,032 : x
  2. Step 2: Convert to fraction form
    76,408.66/114,657.60 = 32,032/x
  3. Step 3: Cross multiply
    76,408.66x = 114,657.60 × 32,032
  4. Step 4: Simplify right side
    76,408.66x = 3,672,712,243.20
  5. Step 5: Solve for x
    x = 3,672,712,243.20/76,408.66
  6. Step 6: Final answer
    x = 48,066.70

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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.