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Finding the Fourth Proportional to 32,298.26, 48,447.32 and 8,924.63

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Solution

The fourth proportional to 32,298.26, 48,447.32 and 8,924.63 is: 13,386.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,298.26 : 48,447.32 = 8,924.63 : x
  2. Step 2: Convert to fraction form
    32,298.26/48,447.32 = 8,924.63/x
  3. Step 3: Cross multiply
    32,298.26x = 48,447.32 × 8,924.63
  4. Step 4: Simplify right side
    32,298.26x = 432,374,118.63
  5. Step 5: Solve for x
    x = 432,374,118.63/32,298.26
  6. Step 6: Final answer
    x = 13,386.92

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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.