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Finding the Fourth Proportional to 64,277.84, 96,479.09 and 31,021.29

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Solution

The fourth proportional to 64,277.84, 96,479.09 and 31,021.29 is: 46,562.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,277.84 : 96,479.09 = 31,021.29 : x
  2. Step 2: Convert to fraction form
    64,277.84/96,479.09 = 31,021.29/x
  3. Step 3: Cross multiply
    64,277.84x = 96,479.09 × 31,021.29
  4. Step 4: Simplify right side
    64,277.84x = 2,992,905,674.72
  5. Step 5: Solve for x
    x = 2,992,905,674.72/64,277.84
  6. Step 6: Final answer
    x = 46,562.02

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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.