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Finding the Fourth Proportional to 47,521, 65,562.94 and 27,377.35

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Solution

The fourth proportional to 47,521, 65,562.94 and 27,377.35 is: 37,771.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,521 : 65,562.94 = 27,377.35 : x
  2. Step 2: Convert to fraction form
    47,521/65,562.94 = 27,377.35/x
  3. Step 3: Cross multiply
    47,521x = 65,562.94 × 27,377.35
  4. Step 4: Simplify right side
    47,521x = 1,794,939,555.41
  5. Step 5: Solve for x
    x = 1,794,939,555.41/47,521
  6. Step 6: Final answer
    x = 37,771.50

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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.