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Finding the Fourth Proportional to 96,464.95, 144,697.48 and 40,274.43

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Solution

The fourth proportional to 96,464.95, 144,697.48 and 40,274.43 is: 60,411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,464.95 : 144,697.48 = 40,274.43 : x
  2. Step 2: Convert to fraction form
    96,464.95/144,697.48 = 40,274.43/x
  3. Step 3: Cross multiply
    96,464.95x = 144,697.48 × 40,274.43
  4. Step 4: Simplify right side
    96,464.95x = 5,827,608,529.44
  5. Step 5: Solve for x
    x = 5,827,608,529.44/96,464.95
  6. Step 6: Final answer
    x = 60,411.67

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Why These Related Problems?

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