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Finding the Fourth Proportional to 32,582.48, 48,864 and 11,518.64

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Solution

The fourth proportional to 32,582.48, 48,864 and 11,518.64 is: 17,274.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,582.48 : 48,864 = 11,518.64 : x
  2. Step 2: Convert to fraction form
    32,582.48/48,864 = 11,518.64/x
  3. Step 3: Cross multiply
    32,582.48x = 48,864 × 11,518.64
  4. Step 4: Simplify right side
    32,582.48x = 562,846,824.96
  5. Step 5: Solve for x
    x = 562,846,824.96/32,582.48
  6. Step 6: Final answer
    x = 17,274.52

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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.