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Finding the Fourth Proportional to 101,922.49, 152,773.57 and 49,259.53

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Solution

The fourth proportional to 101,922.49, 152,773.57 and 49,259.53 is: 73,836.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,922.49 : 152,773.57 = 49,259.53 : x
  2. Step 2: Convert to fraction form
    101,922.49/152,773.57 = 49,259.53/x
  3. Step 3: Cross multiply
    101,922.49x = 152,773.57 × 49,259.53
  4. Step 4: Simplify right side
    101,922.49x = 7,525,554,254.62
  5. Step 5: Solve for x
    x = 7,525,554,254.62/101,922.49
  6. Step 6: Final answer
    x = 73,836.05

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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.