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Finding the Fourth Proportional to 47,711.67, 65,870.69 and 29,830.92

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Solution

The fourth proportional to 47,711.67, 65,870.69 and 29,830.92 is: 41,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,711.67 : 65,870.69 = 29,830.92 : x
  2. Step 2: Convert to fraction form
    47,711.67/65,870.69 = 29,830.92/x
  3. Step 3: Cross multiply
    47,711.67x = 65,870.69 × 29,830.92
  4. Step 4: Simplify right side
    47,711.67x = 1,964,983,134.58
  5. Step 5: Solve for x
    x = 1,964,983,134.58/47,711.67
  6. Step 6: Final answer
    x = 41,184.54

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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.