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Finding the Fourth Proportional to 32,193.46, 44,427.32 and 18,046

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Solution

The fourth proportional to 32,193.46, 44,427.32 and 18,046 is: 24,903.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,193.46 : 44,427.32 = 18,046 : x
  2. Step 2: Convert to fraction form
    32,193.46/44,427.32 = 18,046/x
  3. Step 3: Cross multiply
    32,193.46x = 44,427.32 × 18,046
  4. Step 4: Simplify right side
    32,193.46x = 801,735,416.72
  5. Step 5: Solve for x
    x = 801,735,416.72/32,193.46
  6. Step 6: Final answer
    x = 24,903.67

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Why These Related Problems?

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