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Finding the Fourth Proportional to 32,539.12, 48,807.60 and 13,807.12

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Solution

The fourth proportional to 32,539.12, 48,807.60 and 13,807.12 is: 20,710.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,539.12 : 48,807.60 = 13,807.12 : x
  2. Step 2: Convert to fraction form
    32,539.12/48,807.60 = 13,807.12/x
  3. Step 3: Cross multiply
    32,539.12x = 48,807.60 × 13,807.12
  4. Step 4: Simplify right side
    32,539.12x = 673,892,390.11
  5. Step 5: Solve for x
    x = 673,892,390.11/32,539.12
  6. Step 6: Final answer
    x = 20,710.22

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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.