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Finding the Fourth Proportional to 32,308.14, 48,462.23 and 14,765.67

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Solution

The fourth proportional to 32,308.14, 48,462.23 and 14,765.67 is: 22,148.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,308.14 : 48,462.23 = 14,765.67 : x
  2. Step 2: Convert to fraction form
    32,308.14/48,462.23 = 14,765.67/x
  3. Step 3: Cross multiply
    32,308.14x = 48,462.23 × 14,765.67
  4. Step 4: Simplify right side
    32,308.14x = 715,577,221.82
  5. Step 5: Solve for x
    x = 715,577,221.82/32,308.14
  6. Step 6: Final answer
    x = 22,148.51

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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.