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Finding the Fourth Proportional to 32,018.72, 48,036.48 and 9,832.64

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Solution

The fourth proportional to 32,018.72, 48,036.48 and 9,832.64 is: 14,751.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,018.72 : 48,036.48 = 9,832.64 : x
  2. Step 2: Convert to fraction form
    32,018.72/48,036.48 = 9,832.64/x
  3. Step 3: Cross multiply
    32,018.72x = 48,036.48 × 9,832.64
  4. Step 4: Simplify right side
    32,018.72x = 472,325,414.71
  5. Step 5: Solve for x
    x = 472,325,414.71/32,018.72
  6. Step 6: Final answer
    x = 14,751.54

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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.