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Finding the Fourth Proportional to 126,596.60, 189,913.80 and 46,628.48

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Solution

The fourth proportional to 126,596.60, 189,913.80 and 46,628.48 is: 69,949.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,596.60 : 189,913.80 = 46,628.48 : x
  2. Step 2: Convert to fraction form
    126,596.60/189,913.80 = 46,628.48/x
  3. Step 3: Cross multiply
    126,596.60x = 189,913.80 × 46,628.48
  4. Step 4: Simplify right side
    126,596.60x = 8,855,391,825.02
  5. Step 5: Solve for x
    x = 8,855,391,825.02/126,596.60
  6. Step 6: Final answer
    x = 69,949.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.