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Finding the Fourth Proportional to 77,103.92, 106,362.36 and 46,898.48

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Solution

The fourth proportional to 77,103.92, 106,362.36 and 46,898.48 is: 64,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,103.92 : 106,362.36 = 46,898.48 : x
  2. Step 2: Convert to fraction form
    77,103.92/106,362.36 = 46,898.48/x
  3. Step 3: Cross multiply
    77,103.92x = 106,362.36 × 46,898.48
  4. Step 4: Simplify right side
    77,103.92x = 4,988,232,481.40
  5. Step 5: Solve for x
    x = 4,988,232,481.40/77,103.92
  6. Step 6: Final answer
    x = 64,694.93

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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.