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Finding the Fourth Proportional to 77,463, 106,898.94 and 43,929

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Solution

The fourth proportional to 77,463, 106,898.94 and 43,929 is: 60,622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,463 : 106,898.94 = 43,929 : x
  2. Step 2: Convert to fraction form
    77,463/106,898.94 = 43,929/x
  3. Step 3: Cross multiply
    77,463x = 106,898.94 × 43,929
  4. Step 4: Simplify right side
    77,463x = 4,695,963,535.26
  5. Step 5: Solve for x
    x = 4,695,963,535.26/77,463
  6. Step 6: Final answer
    x = 60,622.02

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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.