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Finding the Fourth Proportional to 76,594.27, 105,696.69 and 44,323.77

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Solution

The fourth proportional to 76,594.27, 105,696.69 and 44,323.77 is: 61,164.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,594.27 : 105,696.69 = 44,323.77 : x
  2. Step 2: Convert to fraction form
    76,594.27/105,696.69 = 44,323.77/x
  3. Step 3: Cross multiply
    76,594.27x = 105,696.69 × 44,323.77
  4. Step 4: Simplify right side
    76,594.27x = 4,684,875,777.32
  5. Step 5: Solve for x
    x = 4,684,875,777.32/76,594.27
  6. Step 6: Final answer
    x = 61,164.83

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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.