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Finding the Fourth Proportional to 76,010.56, 114,020.76 and 29,263.44

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Solution

The fourth proportional to 76,010.56, 114,020.76 and 29,263.44 is: 43,897.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,010.56 : 114,020.76 = 29,263.44 : x
  2. Step 2: Convert to fraction form
    76,010.56/114,020.76 = 29,263.44/x
  3. Step 3: Cross multiply
    76,010.56x = 114,020.76 × 29,263.44
  4. Step 4: Simplify right side
    76,010.56x = 3,336,639,669.01
  5. Step 5: Solve for x
    x = 3,336,639,669.01/76,010.56
  6. Step 6: Final answer
    x = 43,897.05

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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.