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Finding the Fourth Proportional to 32,014.76, 48,023.94 and 8,643.02

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Solution

The fourth proportional to 32,014.76, 48,023.94 and 8,643.02 is: 12,965.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,014.76 : 48,023.94 = 8,643.02 : x
  2. Step 2: Convert to fraction form
    32,014.76/48,023.94 = 8,643.02/x
  3. Step 3: Cross multiply
    32,014.76x = 48,023.94 × 8,643.02
  4. Step 4: Simplify right side
    32,014.76x = 415,071,873.90
  5. Step 5: Solve for x
    x = 415,071,873.90/32,014.76
  6. Step 6: Final answer
    x = 12,965.02

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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.