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Finding the Fourth Proportional to 34,313.60, 51,468.48 and 9,688.96

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Solution

The fourth proportional to 34,313.60, 51,468.48 and 9,688.96 is: 14,532.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,313.60 : 51,468.48 = 9,688.96 : x
  2. Step 2: Convert to fraction form
    34,313.60/51,468.48 = 9,688.96/x
  3. Step 3: Cross multiply
    34,313.60x = 51,468.48 × 9,688.96
  4. Step 4: Simplify right side
    34,313.60x = 498,676,043.98
  5. Step 5: Solve for x
    x = 498,676,043.98/34,313.60
  6. Step 6: Final answer
    x = 14,532.90

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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.