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Finding the Fourth Proportional to 32,430.20, 48,615.90 and 11,648.84

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Solution

The fourth proportional to 32,430.20, 48,615.90 and 11,648.84 is: 17,462.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,430.20 : 48,615.90 = 11,648.84 : x
  2. Step 2: Convert to fraction form
    32,430.20/48,615.90 = 11,648.84/x
  3. Step 3: Cross multiply
    32,430.20x = 48,615.90 × 11,648.84
  4. Step 4: Simplify right side
    32,430.20x = 566,318,840.56
  5. Step 5: Solve for x
    x = 566,318,840.56/32,430.20
  6. Step 6: Final answer
    x = 17,462.70

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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.