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Finding the Fourth Proportional to 77,336.64, 106,724.52 and 43,802.64

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Solution

The fourth proportional to 77,336.64, 106,724.52 and 43,802.64 is: 60,447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,336.64 : 106,724.52 = 43,802.64 : x
  2. Step 2: Convert to fraction form
    77,336.64/106,724.52 = 43,802.64/x
  3. Step 3: Cross multiply
    77,336.64x = 106,724.52 × 43,802.64
  4. Step 4: Simplify right side
    77,336.64x = 4,674,815,728.73
  5. Step 5: Solve for x
    x = 4,674,815,728.73/77,336.64
  6. Step 6: Final answer
    x = 60,447.62

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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.