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Finding the Fourth Proportional to 77,456.32, 116,185.70 and 30,074.16

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Solution

The fourth proportional to 77,456.32, 116,185.70 and 30,074.16 is: 45,111.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,456.32 : 116,185.70 = 30,074.16 : x
  2. Step 2: Convert to fraction form
    77,456.32/116,185.70 = 30,074.16/x
  3. Step 3: Cross multiply
    77,456.32x = 116,185.70 × 30,074.16
  4. Step 4: Simplify right side
    77,456.32x = 3,494,187,331.51
  5. Step 5: Solve for x
    x = 3,494,187,331.51/77,456.32
  6. Step 6: Final answer
    x = 45,111.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.