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Finding the Fourth Proportional to 76,266.84, 114,401.34 and 23,673

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Solution

The fourth proportional to 76,266.84, 114,401.34 and 23,673 is: 35,509.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,266.84 : 114,401.34 = 23,673 : x
  2. Step 2: Convert to fraction form
    76,266.84/114,401.34 = 23,673/x
  3. Step 3: Cross multiply
    76,266.84x = 114,401.34 × 23,673
  4. Step 4: Simplify right side
    76,266.84x = 2,708,222,921.82
  5. Step 5: Solve for x
    x = 2,708,222,921.82/76,266.84
  6. Step 6: Final answer
    x = 35,509.84

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1.5x scale

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.