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Finding the Fourth Proportional to 76,739.26, 105,905.04 and 46,527.47

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Solution

The fourth proportional to 76,739.26, 105,905.04 and 46,527.47 is: 64,210.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,739.26 : 105,905.04 = 46,527.47 : x
  2. Step 2: Convert to fraction form
    76,739.26/105,905.04 = 46,527.47/x
  3. Step 3: Cross multiply
    76,739.26x = 105,905.04 × 46,527.47
  4. Step 4: Simplify right side
    76,739.26x = 4,927,493,571.45
  5. Step 5: Solve for x
    x = 4,927,493,571.45/76,739.26
  6. Step 6: Final answer
    x = 64,210.86

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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.