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Finding the Fourth Proportional to 32,264.66, 48,406.21 and 10,078.36

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Solution

The fourth proportional to 32,264.66, 48,406.21 and 10,078.36 is: 15,120.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,264.66 : 48,406.21 = 10,078.36 : x
  2. Step 2: Convert to fraction form
    32,264.66/48,406.21 = 10,078.36/x
  3. Step 3: Cross multiply
    32,264.66x = 48,406.21 × 10,078.36
  4. Step 4: Simplify right side
    32,264.66x = 487,855,064.40
  5. Step 5: Solve for x
    x = 487,855,064.40/32,264.66
  6. Step 6: Final answer
    x = 15,120.41

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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.