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Finding the Fourth Proportional to 76,534.56, 114,827.76 and 34,410.24

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Solution

The fourth proportional to 76,534.56, 114,827.76 and 34,410.24 is: 51,627.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,534.56 : 114,827.76 = 34,410.24 : x
  2. Step 2: Convert to fraction form
    76,534.56/114,827.76 = 34,410.24/x
  3. Step 3: Cross multiply
    76,534.56x = 114,827.76 × 34,410.24
  4. Step 4: Simplify right side
    76,534.56x = 3,951,250,780.26
  5. Step 5: Solve for x
    x = 3,951,250,780.26/76,534.56
  6. Step 6: Final answer
    x = 51,627.01

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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.