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Finding the Fourth Proportional to 32,109.60, 48,130.32 and 12,379.68

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Solution

The fourth proportional to 32,109.60, 48,130.32 and 12,379.68 is: 18,556.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,109.60 : 48,130.32 = 12,379.68 : x
  2. Step 2: Convert to fraction form
    32,109.60/48,130.32 = 12,379.68/x
  3. Step 3: Cross multiply
    32,109.60x = 48,130.32 × 12,379.68
  4. Step 4: Simplify right side
    32,109.60x = 595,837,959.90
  5. Step 5: Solve for x
    x = 595,837,959.90/32,109.60
  6. Step 6: Final answer
    x = 18,556.38

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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.