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Finding the Fourth Proportional to 96,025, 144,089.36 and 46,777

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Solution

The fourth proportional to 96,025, 144,089.36 and 46,777 is: 70,190.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,025 : 144,089.36 = 46,777 : x
  2. Step 2: Convert to fraction form
    96,025/144,089.36 = 46,777/x
  3. Step 3: Cross multiply
    96,025x = 144,089.36 × 46,777
  4. Step 4: Simplify right side
    96,025x = 6,740,067,992.72
  5. Step 5: Solve for x
    x = 6,740,067,992.72/96,025
  6. Step 6: Final answer
    x = 70,190.76

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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.