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Finding the Fourth Proportional to 77,138.19, 115,773.03 and 30,423.87

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Solution

The fourth proportional to 77,138.19, 115,773.03 and 30,423.87 is: 45,661.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,138.19 : 115,773.03 = 30,423.87 : x
  2. Step 2: Convert to fraction form
    77,138.19/115,773.03 = 30,423.87/x
  3. Step 3: Cross multiply
    77,138.19x = 115,773.03 × 30,423.87
  4. Step 4: Simplify right side
    77,138.19x = 3,522,263,614.23
  5. Step 5: Solve for x
    x = 3,522,263,614.23/77,138.19
  6. Step 6: Final answer
    x = 45,661.74

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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.