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Finding the Fourth Proportional to 76,302.98, 114,431.06 and 52,761.79

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Solution

The fourth proportional to 76,302.98, 114,431.06 and 52,761.79 is: 79,126.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,302.98 : 114,431.06 = 52,761.79 : x
  2. Step 2: Convert to fraction form
    76,302.98/114,431.06 = 52,761.79/x
  3. Step 3: Cross multiply
    76,302.98x = 114,431.06 × 52,761.79
  4. Step 4: Simplify right side
    76,302.98x = 6,037,587,007.31
  5. Step 5: Solve for x
    x = 6,037,587,007.31/76,302.98
  6. Step 6: Final answer
    x = 79,126.50

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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.