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Finding the Fourth Proportional to 47,780.24, 65,937.32 and 29,886

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Solution

The fourth proportional to 47,780.24, 65,937.32 and 29,886 is: 41,243.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,780.24 : 65,937.32 = 29,886 : x
  2. Step 2: Convert to fraction form
    47,780.24/65,937.32 = 29,886/x
  3. Step 3: Cross multiply
    47,780.24x = 65,937.32 × 29,886
  4. Step 4: Simplify right side
    47,780.24x = 1,970,602,745.52
  5. Step 5: Solve for x
    x = 1,970,602,745.52/47,780.24
  6. Step 6: Final answer
    x = 41,243.05

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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.