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Finding the Fourth Proportional to 47,679.72, 65,828.28 and 30,690.36

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Solution

The fourth proportional to 47,679.72, 65,828.28 and 30,690.36 is: 42,372.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,679.72 : 65,828.28 = 30,690.36 : x
  2. Step 2: Convert to fraction form
    47,679.72/65,828.28 = 30,690.36/x
  3. Step 3: Cross multiply
    47,679.72x = 65,828.28 × 30,690.36
  4. Step 4: Simplify right side
    47,679.72x = 2,020,293,611.38
  5. Step 5: Solve for x
    x = 2,020,293,611.38/47,679.72
  6. Step 6: Final answer
    x = 42,372.18

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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.