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Finding the Fourth Proportional to 77,065.92, 115,598.96 and 50,434.40

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Solution

The fourth proportional to 77,065.92, 115,598.96 and 50,434.40 is: 75,651.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,065.92 : 115,598.96 = 50,434.40 : x
  2. Step 2: Convert to fraction form
    77,065.92/115,598.96 = 50,434.40/x
  3. Step 3: Cross multiply
    77,065.92x = 115,598.96 × 50,434.40
  4. Step 4: Simplify right side
    77,065.92x = 5,830,164,188.22
  5. Step 5: Solve for x
    x = 5,830,164,188.22/77,065.92
  6. Step 6: Final answer
    x = 75,651.65

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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.