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Finding the Fourth Proportional to 62,117, 93,190.08 and 20,564

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Solution

The fourth proportional to 62,117, 93,190.08 and 20,564 is: 30,850.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,117 : 93,190.08 = 20,564 : x
  2. Step 2: Convert to fraction form
    62,117/93,190.08 = 20,564/x
  3. Step 3: Cross multiply
    62,117x = 93,190.08 × 20,564
  4. Step 4: Simplify right side
    62,117x = 1,916,360,805.12
  5. Step 5: Solve for x
    x = 1,916,360,805.12/62,117
  6. Step 6: Final answer
    x = 30,850.83

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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.