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Finding the Fourth Proportional to 32,886, 49,331.43 and 10,697.67

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Solution

The fourth proportional to 32,886, 49,331.43 and 10,697.67 is: 16,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,886 : 49,331.43 = 10,697.67 : x
  2. Step 2: Convert to fraction form
    32,886/49,331.43 = 10,697.67/x
  3. Step 3: Cross multiply
    32,886x = 49,331.43 × 10,697.67
  4. Step 4: Simplify right side
    32,886x = 527,731,358.77
  5. Step 5: Solve for x
    x = 527,731,358.77/32,886
  6. Step 6: Final answer
    x = 16,047.30

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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.