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Finding the Fourth Proportional to 47,705.91, 65,836.44 and 27,565.47

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Solution

The fourth proportional to 47,705.91, 65,836.44 and 27,565.47 is: 38,041.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,705.91 : 65,836.44 = 27,565.47 : x
  2. Step 2: Convert to fraction form
    47,705.91/65,836.44 = 27,565.47/x
  3. Step 3: Cross multiply
    47,705.91x = 65,836.44 × 27,565.47
  4. Step 4: Simplify right side
    47,705.91x = 1,814,812,411.73
  5. Step 5: Solve for x
    x = 1,814,812,411.73/47,705.91
  6. Step 6: Final answer
    x = 38,041.67

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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.