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Finding the Fourth Proportional to 77,795.21, 107,359.96 and 47,593.96

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Solution

The fourth proportional to 77,795.21, 107,359.96 and 47,593.96 is: 65,681.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,795.21 : 107,359.96 = 47,593.96 : x
  2. Step 2: Convert to fraction form
    77,795.21/107,359.96 = 47,593.96/x
  3. Step 3: Cross multiply
    77,795.21x = 107,359.96 × 47,593.96
  4. Step 4: Simplify right side
    77,795.21x = 5,109,685,641.84
  5. Step 5: Solve for x
    x = 5,109,685,641.84/77,795.21
  6. Step 6: Final answer
    x = 65,681.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.