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Finding the Fourth Proportional to 91,923.25, 137,820.56 and 46,958.53

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Solution

The fourth proportional to 91,923.25, 137,820.56 and 46,958.53 is: 70,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,923.25 : 137,820.56 = 46,958.53 : x
  2. Step 2: Convert to fraction form
    91,923.25/137,820.56 = 46,958.53/x
  3. Step 3: Cross multiply
    91,923.25x = 137,820.56 × 46,958.53
  4. Step 4: Simplify right side
    91,923.25x = 6,471,850,783.98
  5. Step 5: Solve for x
    x = 6,471,850,783.98/91,923.25
  6. Step 6: Final answer
    x = 70,404.94

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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.