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Finding the Fourth Proportional to 32,881.57, 49,311.34 and 10,689.50

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Solution

The fourth proportional to 32,881.57, 49,311.34 and 10,689.50 is: 16,030.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,881.57 : 49,311.34 = 10,689.50 : x
  2. Step 2: Convert to fraction form
    32,881.57/49,311.34 = 10,689.50/x
  3. Step 3: Cross multiply
    32,881.57x = 49,311.34 × 10,689.50
  4. Step 4: Simplify right side
    32,881.57x = 527,113,665.48
  5. Step 5: Solve for x
    x = 527,113,665.48/32,881.57
  6. Step 6: Final answer
    x = 16,030.67

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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.