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Finding the Fourth Proportional to 96,457.78, 133,108 and 54,014.14

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Solution

The fourth proportional to 96,457.78, 133,108 and 54,014.14 is: 74,537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,457.78 : 133,108 = 54,014.14 : x
  2. Step 2: Convert to fraction form
    96,457.78/133,108 = 54,014.14/x
  3. Step 3: Cross multiply
    96,457.78x = 133,108 × 54,014.14
  4. Step 4: Simplify right side
    96,457.78x = 7,189,714,147.12
  5. Step 5: Solve for x
    x = 7,189,714,147.12/96,457.78
  6. Step 6: Final answer
    x = 74,537.42

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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.