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Finding the Fourth Proportional to 31,669.36, 47,508.90 and 10,888

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Solution

The fourth proportional to 31,669.36, 47,508.90 and 10,888 is: 16,333.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,669.36 : 47,508.90 = 10,888 : x
  2. Step 2: Convert to fraction form
    31,669.36/47,508.90 = 10,888/x
  3. Step 3: Cross multiply
    31,669.36x = 47,508.90 × 10,888
  4. Step 4: Simplify right side
    31,669.36x = 517,276,903.20
  5. Step 5: Solve for x
    x = 517,276,903.20/31,669.36
  6. Step 6: Final answer
    x = 16,333.67

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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.