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Finding the Fourth Proportional to 62,816.96, 94,225.44 and 23,384

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Solution

The fourth proportional to 62,816.96, 94,225.44 and 23,384 is: 35,076

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,816.96 : 94,225.44 = 23,384 : x
  2. Step 2: Convert to fraction form
    62,816.96/94,225.44 = 23,384/x
  3. Step 3: Cross multiply
    62,816.96x = 94,225.44 × 23,384
  4. Step 4: Simplify right side
    62,816.96x = 2,203,367,688.96
  5. Step 5: Solve for x
    x = 2,203,367,688.96/62,816.96
  6. Step 6: Final answer
    x = 35,076

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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.