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Finding the Fourth Proportional to 47,089, 64,988.58 and 27,217

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Solution

The fourth proportional to 47,089, 64,988.58 and 27,217 is: 37,562.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,089 : 64,988.58 = 27,217 : x
  2. Step 2: Convert to fraction form
    47,089/64,988.58 = 27,217/x
  3. Step 3: Cross multiply
    47,089x = 64,988.58 × 27,217
  4. Step 4: Simplify right side
    47,089x = 1,768,794,181.86
  5. Step 5: Solve for x
    x = 1,768,794,181.86/47,089
  6. Step 6: Final answer
    x = 37,562.79

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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.