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Finding the Fourth Proportional to 76,465, 114,701.82 and 27,217

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Solution

The fourth proportional to 76,465, 114,701.82 and 27,217 is: 40,827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,465 : 114,701.82 = 27,217 : x
  2. Step 2: Convert to fraction form
    76,465/114,701.82 = 27,217/x
  3. Step 3: Cross multiply
    76,465x = 114,701.82 × 27,217
  4. Step 4: Simplify right side
    76,465x = 3,121,839,434.94
  5. Step 5: Solve for x
    x = 3,121,839,434.94/76,465
  6. Step 6: Final answer
    x = 40,827.04

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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.