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Finding the Fourth Proportional to 39,293, 58,941.12 and 11,591

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Solution

The fourth proportional to 39,293, 58,941.12 and 11,591 is: 17,386.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,293 : 58,941.12 = 11,591 : x
  2. Step 2: Convert to fraction form
    39,293/58,941.12 = 11,591/x
  3. Step 3: Cross multiply
    39,293x = 58,941.12 × 11,591
  4. Step 4: Simplify right side
    39,293x = 683,186,521.92
  5. Step 5: Solve for x
    x = 683,186,521.92/39,293
  6. Step 6: Final answer
    x = 17,386.98

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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.