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Finding the Fourth Proportional to 105,709.50, 145,883.52 and 57,964.68

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Solution

The fourth proportional to 105,709.50, 145,883.52 and 57,964.68 is: 79,993.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,709.50 : 145,883.52 = 57,964.68 : x
  2. Step 2: Convert to fraction form
    105,709.50/145,883.52 = 57,964.68/x
  3. Step 3: Cross multiply
    105,709.50x = 145,883.52 × 57,964.68
  4. Step 4: Simplify right side
    105,709.50x = 8,456,091,554.07
  5. Step 5: Solve for x
    x = 8,456,091,554.07/105,709.50
  6. Step 6: Final answer
    x = 79,993.68

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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.