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Finding the Fourth Proportional to 76,576.16, 114,864.24 and 34,994

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Solution

The fourth proportional to 76,576.16, 114,864.24 and 34,994 is: 52,491

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,576.16 : 114,864.24 = 34,994 : x
  2. Step 2: Convert to fraction form
    76,576.16/114,864.24 = 34,994/x
  3. Step 3: Cross multiply
    76,576.16x = 114,864.24 × 34,994
  4. Step 4: Simplify right side
    76,576.16x = 4,019,559,214.56
  5. Step 5: Solve for x
    x = 4,019,559,214.56/76,576.16
  6. Step 6: Final answer
    x = 52,491

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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.