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Finding the Fourth Proportional to 76,808.16, 115,227.81 and 32,434.74

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Solution

The fourth proportional to 76,808.16, 115,227.81 and 32,434.74 is: 48,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,808.16 : 115,227.81 = 32,434.74 : x
  2. Step 2: Convert to fraction form
    76,808.16/115,227.81 = 32,434.74/x
  3. Step 3: Cross multiply
    76,808.16x = 115,227.81 × 32,434.74
  4. Step 4: Simplify right side
    76,808.16x = 3,737,384,058.12
  5. Step 5: Solve for x
    x = 3,737,384,058.12/76,808.16
  6. Step 6: Final answer
    x = 48,658.68

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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.