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Finding the Fourth Proportional to 76,315.32, 105,313.23 and 42,323.31

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Solution

The fourth proportional to 76,315.32, 105,313.23 and 42,323.31 is: 58,405.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,315.32 : 105,313.23 = 42,323.31 : x
  2. Step 2: Convert to fraction form
    76,315.32/105,313.23 = 42,323.31/x
  3. Step 3: Cross multiply
    76,315.32x = 105,313.23 × 42,323.31
  4. Step 4: Simplify right side
    76,315.32x = 4,457,204,480.39
  5. Step 5: Solve for x
    x = 4,457,204,480.39/76,315.32
  6. Step 6: Final answer
    x = 58,405.11

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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.