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Finding the Fourth Proportional to 76,903.98, 115,355.25 and 24,313.47

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Solution

The fourth proportional to 76,903.98, 115,355.25 and 24,313.47 is: 36,469.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,903.98 : 115,355.25 = 24,313.47 : x
  2. Step 2: Convert to fraction form
    76,903.98/115,355.25 = 24,313.47/x
  3. Step 3: Cross multiply
    76,903.98x = 115,355.25 × 24,313.47
  4. Step 4: Simplify right side
    76,903.98x = 2,804,686,694.89
  5. Step 5: Solve for x
    x = 2,804,686,694.89/76,903.98
  6. Step 6: Final answer
    x = 36,469.98

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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.