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Finding the Fourth Proportional to 105,847.81, 146,064.99 and 57,448.64

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Solution

The fourth proportional to 105,847.81, 146,064.99 and 57,448.64 is: 79,276.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,847.81 : 146,064.99 = 57,448.64 : x
  2. Step 2: Convert to fraction form
    105,847.81/146,064.99 = 57,448.64/x
  3. Step 3: Cross multiply
    105,847.81x = 146,064.99 × 57,448.64
  4. Step 4: Simplify right side
    105,847.81x = 8,391,235,027.11
  5. Step 5: Solve for x
    x = 8,391,235,027.11/105,847.81
  6. Step 6: Final answer
    x = 79,276.42

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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.