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Finding the Fourth Proportional to 47,364, 65,354.88 and 27,217

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Solution

The fourth proportional to 47,364, 65,354.88 and 27,217 is: 37,555.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,364 : 65,354.88 = 27,217 : x
  2. Step 2: Convert to fraction form
    47,364/65,354.88 = 27,217/x
  3. Step 3: Cross multiply
    47,364x = 65,354.88 × 27,217
  4. Step 4: Simplify right side
    47,364x = 1,778,763,768.96
  5. Step 5: Solve for x
    x = 1,778,763,768.96/47,364
  6. Step 6: Final answer
    x = 37,555.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.