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Finding the Fourth Proportional to 77,384.58, 106,795.31 and 43,404.27

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Solution

The fourth proportional to 77,384.58, 106,795.31 and 43,404.27 is: 59,900.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,384.58 : 106,795.31 = 43,404.27 : x
  2. Step 2: Convert to fraction form
    77,384.58/106,795.31 = 43,404.27/x
  3. Step 3: Cross multiply
    77,384.58x = 106,795.31 × 43,404.27
  4. Step 4: Simplify right side
    77,384.58x = 4,635,372,252.95
  5. Step 5: Solve for x
    x = 4,635,372,252.95/77,384.58
  6. Step 6: Final answer
    x = 59,900.46

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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.