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Finding the Fourth Proportional to 96,241.24, 144,361.86 and 46,951

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Solution

The fourth proportional to 96,241.24, 144,361.86 and 46,951 is: 70,426.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,241.24 : 144,361.86 = 46,951 : x
  2. Step 2: Convert to fraction form
    96,241.24/144,361.86 = 46,951/x
  3. Step 3: Cross multiply
    96,241.24x = 144,361.86 × 46,951
  4. Step 4: Simplify right side
    96,241.24x = 6,777,933,688.86
  5. Step 5: Solve for x
    x = 6,777,933,688.86/96,241.24
  6. Step 6: Final answer
    x = 70,426.50

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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.