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Finding the Fourth Proportional to 96,442.64, 133,086.22 and 53,419.23

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Solution

The fourth proportional to 96,442.64, 133,086.22 and 53,419.23 is: 73,715.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,442.64 : 133,086.22 = 53,419.23 : x
  2. Step 2: Convert to fraction form
    96,442.64/133,086.22 = 53,419.23/x
  3. Step 3: Cross multiply
    96,442.64x = 133,086.22 × 53,419.23
  4. Step 4: Simplify right side
    96,442.64x = 7,109,363,396.01
  5. Step 5: Solve for x
    x = 7,109,363,396.01/96,442.64
  6. Step 6: Final answer
    x = 73,715.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.