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Finding the Fourth Proportional to 77,124.44, 106,433.18 and 46,911.03

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Solution

The fourth proportional to 77,124.44, 106,433.18 and 46,911.03 is: 64,738.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,124.44 : 106,433.18 = 46,911.03 : x
  2. Step 2: Convert to fraction form
    77,124.44/106,433.18 = 46,911.03/x
  3. Step 3: Cross multiply
    77,124.44x = 106,433.18 × 46,911.03
  4. Step 4: Simplify right side
    77,124.44x = 4,992,889,865.42
  5. Step 5: Solve for x
    x = 4,992,889,865.42/77,124.44
  6. Step 6: Final answer
    x = 64,738.11

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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.