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Finding the Fourth Proportional to 64,566.84, 96,859.50 and 31,259.56

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Solution

The fourth proportional to 64,566.84, 96,859.50 and 31,259.56 is: 46,893.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,566.84 : 96,859.50 = 31,259.56 : x
  2. Step 2: Convert to fraction form
    64,566.84/96,859.50 = 31,259.56/x
  3. Step 3: Cross multiply
    64,566.84x = 96,859.50 × 31,259.56
  4. Step 4: Simplify right side
    64,566.84x = 3,027,785,351.82
  5. Step 5: Solve for x
    x = 3,027,785,351.82/64,566.84
  6. Step 6: Final answer
    x = 46,893.81

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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.