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Finding the Fourth Proportional to 76,493.84, 114,701.17 and 34,337.62

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Solution

The fourth proportional to 76,493.84, 114,701.17 and 34,337.62 is: 51,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,493.84 : 114,701.17 = 34,337.62 : x
  2. Step 2: Convert to fraction form
    76,493.84/114,701.17 = 34,337.62/x
  3. Step 3: Cross multiply
    76,493.84x = 114,701.17 × 34,337.62
  4. Step 4: Simplify right side
    76,493.84x = 3,938,565,189.02
  5. Step 5: Solve for x
    x = 3,938,565,189.02/76,493.84
  6. Step 6: Final answer
    x = 51,488.66

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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.