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Finding the Fourth Proportional to 76,169.96, 105,107.21 and 45,537.00

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Solution

The fourth proportional to 76,169.96, 105,107.21 and 45,537.00 is: 62,836.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,169.96 : 105,107.21 = 45,537.00 : x
  2. Step 2: Convert to fraction form
    76,169.96/105,107.21 = 45,537.00/x
  3. Step 3: Cross multiply
    76,169.96x = 105,107.21 × 45,537.00
  4. Step 4: Simplify right side
    76,169.96x = 4,786,266,531.32
  5. Step 5: Solve for x
    x = 4,786,266,531.32/76,169.96
  6. Step 6: Final answer
    x = 62,836.67

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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.