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Finding the Fourth Proportional to 32,023.56, 48,002.52 and 13,314.45

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Solution

The fourth proportional to 32,023.56, 48,002.52 and 13,314.45 is: 19,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023.56 : 48,002.52 = 13,314.45 : x
  2. Step 2: Convert to fraction form
    32,023.56/48,002.52 = 13,314.45/x
  3. Step 3: Cross multiply
    32,023.56x = 48,002.52 × 13,314.45
  4. Step 4: Simplify right side
    32,023.56x = 639,127,152.41
  5. Step 5: Solve for x
    x = 639,127,152.41/32,023.56
  6. Step 6: Final answer
    x = 19,958.03

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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.