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Finding the Fourth Proportional to 76,323.40, 105,331.40 and 42,342.69

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Solution

The fourth proportional to 76,323.40, 105,331.40 and 42,342.69 is: 58,435.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,323.40 : 105,331.40 = 42,342.69 : x
  2. Step 2: Convert to fraction form
    76,323.40/105,331.40 = 42,342.69/x
  3. Step 3: Cross multiply
    76,323.40x = 105,331.40 × 42,342.69
  4. Step 4: Simplify right side
    76,323.40x = 4,460,014,817.47
  5. Step 5: Solve for x
    x = 4,460,014,817.47/76,323.40
  6. Step 6: Final answer
    x = 58,435.75

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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.