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Finding the Fourth Proportional to 96,465.12, 133,122.96 and 54,024

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Solution

The fourth proportional to 96,465.12, 133,122.96 and 54,024 is: 74,553.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,465.12 : 133,122.96 = 54,024 : x
  2. Step 2: Convert to fraction form
    96,465.12/133,122.96 = 54,024/x
  3. Step 3: Cross multiply
    96,465.12x = 133,122.96 × 54,024
  4. Step 4: Simplify right side
    96,465.12x = 7,191,834,791.04
  5. Step 5: Solve for x
    x = 7,191,834,791.04/96,465.12
  6. Step 6: Final answer
    x = 74,553.73

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Why These Related Problems?

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