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Finding the Fourth Proportional to 76,295.68, 105,289.30 and 42,305.60

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Solution

The fourth proportional to 76,295.68, 105,289.30 and 42,305.60 is: 58,382.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,295.68 : 105,289.30 = 42,305.60 : x
  2. Step 2: Convert to fraction form
    76,295.68/105,289.30 = 42,305.60/x
  3. Step 3: Cross multiply
    76,295.68x = 105,289.30 × 42,305.60
  4. Step 4: Simplify right side
    76,295.68x = 4,454,326,718.73
  5. Step 5: Solve for x
    x = 4,454,326,718.73/76,295.68
  6. Step 6: Final answer
    x = 58,382.43

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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.