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Finding the Fourth Proportional to 101,849, 152,777.64 and 48,513.56

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Solution

The fourth proportional to 101,849, 152,777.64 and 48,513.56 is: 72,772.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,849 : 152,777.64 = 48,513.56 : x
  2. Step 2: Convert to fraction form
    101,849/152,777.64 = 48,513.56/x
  3. Step 3: Cross multiply
    101,849x = 152,777.64 × 48,513.56
  4. Step 4: Simplify right side
    101,849x = 7,411,787,204.80
  5. Step 5: Solve for x
    x = 7,411,787,204.80/101,849
  6. Step 6: Final answer
    x = 72,772.31

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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.