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Finding the Fourth Proportional to 32,656.44, 48,986.36 and 9,284.68

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Solution

The fourth proportional to 32,656.44, 48,986.36 and 9,284.68 is: 13,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,656.44 : 48,986.36 = 9,284.68 : x
  2. Step 2: Convert to fraction form
    32,656.44/48,986.36 = 9,284.68/x
  3. Step 3: Cross multiply
    32,656.44x = 48,986.36 × 9,284.68
  4. Step 4: Simplify right side
    32,656.44x = 454,822,676.96
  5. Step 5: Solve for x
    x = 454,822,676.96/32,656.44
  6. Step 6: Final answer
    x = 13,927.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.