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Finding the Fourth Proportional to 32,462.26, 48,656.48 and 13,730.60

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Solution

The fourth proportional to 32,462.26, 48,656.48 and 13,730.60 is: 20,580.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,462.26 : 48,656.48 = 13,730.60 : x
  2. Step 2: Convert to fraction form
    32,462.26/48,656.48 = 13,730.60/x
  3. Step 3: Cross multiply
    32,462.26x = 48,656.48 × 13,730.60
  4. Step 4: Simplify right side
    32,462.26x = 668,082,697.12
  5. Step 5: Solve for x
    x = 668,082,697.12/32,462.26
  6. Step 6: Final answer
    x = 20,580.29

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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.