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Finding the Fourth Proportional to 64,409.93, 96,462.16 and 51,039.93

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Solution

The fourth proportional to 64,409.93, 96,462.16 and 51,039.93 is: 76,438.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,409.93 : 96,462.16 = 51,039.93 : x
  2. Step 2: Convert to fraction form
    64,409.93/96,462.16 = 51,039.93/x
  3. Step 3: Cross multiply
    64,409.93x = 96,462.16 × 51,039.93
  4. Step 4: Simplify right side
    64,409.93x = 4,923,421,638.85
  5. Step 5: Solve for x
    x = 4,923,421,638.85/64,409.93
  6. Step 6: Final answer
    x = 76,438.87

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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.