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Finding the Fourth Proportional to 64,211.82, 96,301.17 and 19,224.30

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Solution

The fourth proportional to 64,211.82, 96,301.17 and 19,224.30 is: 28,831.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,211.82 : 96,301.17 = 19,224.30 : x
  2. Step 2: Convert to fraction form
    64,211.82/96,301.17 = 19,224.30/x
  3. Step 3: Cross multiply
    64,211.82x = 96,301.17 × 19,224.30
  4. Step 4: Simplify right side
    64,211.82x = 1,851,322,582.43
  5. Step 5: Solve for x
    x = 1,851,322,582.43/64,211.82
  6. Step 6: Final answer
    x = 28,831.49

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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.