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Finding the Fourth Proportional to 47,305.32, 65,278.88 and 29,399.94

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Solution

The fourth proportional to 47,305.32, 65,278.88 and 29,399.94 is: 40,570.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,305.32 : 65,278.88 = 29,399.94 : x
  2. Step 2: Convert to fraction form
    47,305.32/65,278.88 = 29,399.94/x
  3. Step 3: Cross multiply
    47,305.32x = 65,278.88 × 29,399.94
  4. Step 4: Simplify right side
    47,305.32x = 1,919,195,155.27
  5. Step 5: Solve for x
    x = 1,919,195,155.27/47,305.32
  6. Step 6: Final answer
    x = 40,570.39

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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.