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Finding the Fourth Proportional to 82,666.27, 114,085.36 and 47,751.42

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Solution

The fourth proportional to 82,666.27, 114,085.36 and 47,751.42 is: 65,900.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,666.27 : 114,085.36 = 47,751.42 : x
  2. Step 2: Convert to fraction form
    82,666.27/114,085.36 = 47,751.42/x
  3. Step 3: Cross multiply
    82,666.27x = 114,085.36 × 47,751.42
  4. Step 4: Simplify right side
    82,666.27x = 5,447,738,428.72
  5. Step 5: Solve for x
    x = 5,447,738,428.72/82,666.27
  6. Step 6: Final answer
    x = 65,900.38

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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.