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Finding the Fourth Proportional to 34,658.93, 47,836.98 and 22,538.34

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Solution

The fourth proportional to 34,658.93, 47,836.98 and 22,538.34 is: 31,107.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,658.93 : 47,836.98 = 22,538.34 : x
  2. Step 2: Convert to fraction form
    34,658.93/47,836.98 = 22,538.34/x
  3. Step 3: Cross multiply
    34,658.93x = 47,836.98 × 22,538.34
  4. Step 4: Simplify right side
    34,658.93x = 1,078,166,119.81
  5. Step 5: Solve for x
    x = 1,078,166,119.81/34,658.93
  6. Step 6: Final answer
    x = 31,107.89

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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.