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Finding the Fourth Proportional to 47,301, 65,284.84 and 27,171.70

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Solution

The fourth proportional to 47,301, 65,284.84 and 27,171.70 is: 37,502.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,301 : 65,284.84 = 27,171.70 : x
  2. Step 2: Convert to fraction form
    47,301/65,284.84 = 27,171.70/x
  3. Step 3: Cross multiply
    47,301x = 65,284.84 × 27,171.70
  4. Step 4: Simplify right side
    47,301x = 1,773,900,087.03
  5. Step 5: Solve for x
    x = 1,773,900,087.03/47,301
  6. Step 6: Final answer
    x = 37,502.38

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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.