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Finding the Fourth Proportional to 32,094.29, 44,291.33 and 17,947.10

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Solution

The fourth proportional to 32,094.29, 44,291.33 and 17,947.10 is: 24,767.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,094.29 : 44,291.33 = 17,947.10 : x
  2. Step 2: Convert to fraction form
    32,094.29/44,291.33 = 17,947.10/x
  3. Step 3: Cross multiply
    32,094.29x = 44,291.33 × 17,947.10
  4. Step 4: Simplify right side
    32,094.29x = 794,900,838.91
  5. Step 5: Solve for x
    x = 794,900,838.91/32,094.29
  6. Step 6: Final answer
    x = 24,767.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.