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Finding the Fourth Proportional to 34,935.85, 52,411.89 and 9,976.24

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Solution

The fourth proportional to 34,935.85, 52,411.89 and 9,976.24 is: 14,966.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,935.85 : 52,411.89 = 9,976.24 : x
  2. Step 2: Convert to fraction form
    34,935.85/52,411.89 = 9,976.24/x
  3. Step 3: Cross multiply
    34,935.85x = 52,411.89 × 9,976.24
  4. Step 4: Simplify right side
    34,935.85x = 522,873,331.43
  5. Step 5: Solve for x
    x = 522,873,331.43/34,935.85
  6. Step 6: Final answer
    x = 14,966.67

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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.