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Finding the Fourth Proportional to 32,008.77, 48,014.01 and 8,635.14

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Solution

The fourth proportional to 32,008.77, 48,014.01 and 8,635.14 is: 12,952.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,008.77 : 48,014.01 = 8,635.14 : x
  2. Step 2: Convert to fraction form
    32,008.77/48,014.01 = 8,635.14/x
  3. Step 3: Cross multiply
    32,008.77x = 48,014.01 × 8,635.14
  4. Step 4: Simplify right side
    32,008.77x = 414,607,698.31
  5. Step 5: Solve for x
    x = 414,607,698.31/32,008.77
  6. Step 6: Final answer
    x = 12,952.94

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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.