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Finding the Fourth Proportional to 77,674.50, 116,261.14 and 40,182.94

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Solution

The fourth proportional to 77,674.50, 116,261.14 and 40,182.94 is: 60,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,674.50 : 116,261.14 = 40,182.94 : x
  2. Step 2: Convert to fraction form
    77,674.50/116,261.14 = 40,182.94/x
  3. Step 3: Cross multiply
    77,674.50x = 116,261.14 × 40,182.94
  4. Step 4: Simplify right side
    77,674.50x = 4,671,714,412.95
  5. Step 5: Solve for x
    x = 4,671,714,412.95/77,674.50
  6. Step 6: Final answer
    x = 60,144.76

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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.