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Finding the Fourth Proportional to 64,267.74, 96,233.94 and 51,719.22

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Solution

The fourth proportional to 64,267.74, 96,233.94 and 51,719.22 is: 77,443.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,267.74 : 96,233.94 = 51,719.22 : x
  2. Step 2: Convert to fraction form
    64,267.74/96,233.94 = 51,719.22/x
  3. Step 3: Cross multiply
    64,267.74x = 96,233.94 × 51,719.22
  4. Step 4: Simplify right side
    64,267.74x = 4,977,144,314.33
  5. Step 5: Solve for x
    x = 4,977,144,314.33/64,267.74
  6. Step 6: Final answer
    x = 77,443.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.