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Finding the Fourth Proportional to 76,134.42, 114,212.57 and 23,548

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Solution

The fourth proportional to 76,134.42, 114,212.57 and 23,548 is: 35,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,134.42 : 114,212.57 = 23,548 : x
  2. Step 2: Convert to fraction form
    76,134.42/114,212.57 = 23,548/x
  3. Step 3: Cross multiply
    76,134.42x = 114,212.57 × 23,548
  4. Step 4: Simplify right side
    76,134.42x = 2,689,477,598.36
  5. Step 5: Solve for x
    x = 2,689,477,598.36/76,134.42
  6. Step 6: Final answer
    x = 35,325.38

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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.