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Finding the Fourth Proportional to 76,382.46, 105,407.65 and 42,391.35

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Solution

The fourth proportional to 76,382.46, 105,407.65 and 42,391.35 is: 58,499.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,382.46 : 105,407.65 = 42,391.35 : x
  2. Step 2: Convert to fraction form
    76,382.46/105,407.65 = 42,391.35/x
  3. Step 3: Cross multiply
    76,382.46x = 105,407.65 × 42,391.35
  4. Step 4: Simplify right side
    76,382.46x = 4,468,372,583.83
  5. Step 5: Solve for x
    x = 4,468,372,583.83/76,382.46
  6. Step 6: Final answer
    x = 58,499.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.