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Finding the Fourth Proportional to 34,923.96, 52,394.08 and 9,964.35

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Solution

The fourth proportional to 34,923.96, 52,394.08 and 9,964.35 is: 14,948.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,923.96 : 52,394.08 = 9,964.35 : x
  2. Step 2: Convert to fraction form
    34,923.96/52,394.08 = 9,964.35/x
  3. Step 3: Cross multiply
    34,923.96x = 52,394.08 × 9,964.35
  4. Step 4: Simplify right side
    34,923.96x = 522,072,951.05
  5. Step 5: Solve for x
    x = 522,072,951.05/34,923.96
  6. Step 6: Final answer
    x = 14,948.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.