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Finding the Fourth Proportional to 64,063.09, 96,309.69 and 51,670.09

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Solution

The fourth proportional to 64,063.09, 96,309.69 and 51,670.09 is: 77,678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,063.09 : 96,309.69 = 51,670.09 : x
  2. Step 2: Convert to fraction form
    64,063.09/96,309.69 = 51,670.09/x
  3. Step 3: Cross multiply
    64,063.09x = 96,309.69 × 51,670.09
  4. Step 4: Simplify right side
    64,063.09x = 4,976,330,350.17
  5. Step 5: Solve for x
    x = 4,976,330,350.17/64,063.09
  6. Step 6: Final answer
    x = 77,678.59

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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.