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Finding the Fourth Proportional to 32,164, 48,162.16 and 25,889.74

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Solution

The fourth proportional to 32,164, 48,162.16 and 25,889.74 is: 38,767.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,164 : 48,162.16 = 25,889.74 : x
  2. Step 2: Convert to fraction form
    32,164/48,162.16 = 25,889.74/x
  3. Step 3: Cross multiply
    32,164x = 48,162.16 × 25,889.74
  4. Step 4: Simplify right side
    32,164x = 1,246,905,800.24
  5. Step 5: Solve for x
    x = 1,246,905,800.24/32,164
  6. Step 6: Final answer
    x = 38,767.12

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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.