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Finding the Fourth Proportional to 32,093.86, 48,145.36 and 9,903.10

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Solution

The fourth proportional to 32,093.86, 48,145.36 and 9,903.10 is: 14,856.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,093.86 : 48,145.36 = 9,903.10 : x
  2. Step 2: Convert to fraction form
    32,093.86/48,145.36 = 9,903.10/x
  3. Step 3: Cross multiply
    32,093.86x = 48,145.36 × 9,903.10
  4. Step 4: Simplify right side
    32,093.86x = 476,788,314.62
  5. Step 5: Solve for x
    x = 476,788,314.62/32,093.86
  6. Step 6: Final answer
    x = 14,856.06

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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.