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Finding the Fourth Proportional to 47,142.72, 65,029.32 and 30,375.72

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Solution

The fourth proportional to 47,142.72, 65,029.32 and 30,375.72 is: 41,900.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,142.72 : 65,029.32 = 30,375.72 : x
  2. Step 2: Convert to fraction form
    47,142.72/65,029.32 = 30,375.72/x
  3. Step 3: Cross multiply
    47,142.72x = 65,029.32 × 30,375.72
  4. Step 4: Simplify right side
    47,142.72x = 1,975,312,416.11
  5. Step 5: Solve for x
    x = 1,975,312,416.11/47,142.72
  6. Step 6: Final answer
    x = 41,900.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.