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Finding the Fourth Proportional to 56,148.79, 77,449.94 and 35,984.83

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Solution

The fourth proportional to 56,148.79, 77,449.94 and 35,984.83 is: 49,636.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,148.79 : 77,449.94 = 35,984.83 : x
  2. Step 2: Convert to fraction form
    56,148.79/77,449.94 = 35,984.83/x
  3. Step 3: Cross multiply
    56,148.79x = 77,449.94 × 35,984.83
  4. Step 4: Simplify right side
    56,148.79x = 2,787,022,744.49
  5. Step 5: Solve for x
    x = 2,787,022,744.49/56,148.79
  6. Step 6: Final answer
    x = 49,636.38

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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.