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Finding the Fourth Proportional to 32,119.36, 48,175.59 and 8,429.29

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Solution

The fourth proportional to 32,119.36, 48,175.59 and 8,429.29 is: 12,643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,119.36 : 48,175.59 = 8,429.29 : x
  2. Step 2: Convert to fraction form
    32,119.36/48,175.59 = 8,429.29/x
  3. Step 3: Cross multiply
    32,119.36x = 48,175.59 × 8,429.29
  4. Step 4: Simplify right side
    32,119.36x = 406,085,826.89
  5. Step 5: Solve for x
    x = 406,085,826.89/32,119.36
  6. Step 6: Final answer
    x = 12,643.02

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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.