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Finding the Fourth Proportional to 32,050.14, 48,071.56 and 8,678.40

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Solution

The fourth proportional to 32,050.14, 48,071.56 and 8,678.40 is: 13,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,050.14 : 48,071.56 = 8,678.40 : x
  2. Step 2: Convert to fraction form
    32,050.14/48,071.56 = 8,678.40/x
  3. Step 3: Cross multiply
    32,050.14x = 48,071.56 × 8,678.40
  4. Step 4: Simplify right side
    32,050.14x = 417,184,226.30
  5. Step 5: Solve for x
    x = 417,184,226.30/32,050.14
  6. Step 6: Final answer
    x = 13,016.61

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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.