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Finding the Fourth Proportional to 105,597.45, 145,724.49 and 57,850.92

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Solution

The fourth proportional to 105,597.45, 145,724.49 and 57,850.92 is: 79,834.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,597.45 : 145,724.49 = 57,850.92 : x
  2. Step 2: Convert to fraction form
    105,597.45/145,724.49 = 57,850.92/x
  3. Step 3: Cross multiply
    105,597.45x = 145,724.49 × 57,850.92
  4. Step 4: Simplify right side
    105,597.45x = 8,430,295,813.03
  5. Step 5: Solve for x
    x = 8,430,295,813.03/105,597.45
  6. Step 6: Final answer
    x = 79,834.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.