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Finding the Fourth Proportional to 83,023, 114,571.74 and 53,215

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Solution

The fourth proportional to 83,023, 114,571.74 and 53,215 is: 73,436.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,023 : 114,571.74 = 53,215 : x
  2. Step 2: Convert to fraction form
    83,023/114,571.74 = 53,215/x
  3. Step 3: Cross multiply
    83,023x = 114,571.74 × 53,215
  4. Step 4: Simplify right side
    83,023x = 6,096,935,144.10
  5. Step 5: Solve for x
    x = 6,096,935,144.10/83,023
  6. Step 6: Final answer
    x = 73,436.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.