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Finding the Fourth Proportional to 83,172, 114,777.23 and 47,362.02

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Solution

The fourth proportional to 83,172, 114,777.23 and 47,362.02 is: 65,359.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,172 : 114,777.23 = 47,362.02 : x
  2. Step 2: Convert to fraction form
    83,172/114,777.23 = 47,362.02/x
  3. Step 3: Cross multiply
    83,172x = 114,777.23 × 47,362.02
  4. Step 4: Simplify right side
    83,172x = 5,436,081,225.99
  5. Step 5: Solve for x
    x = 5,436,081,225.99/83,172
  6. Step 6: Final answer
    x = 65,359.51

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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.