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Finding the Fourth Proportional to 82,719.46, 114,173.13 and 46,930.42

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Solution

The fourth proportional to 82,719.46, 114,173.13 and 46,930.42 is: 64,775.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,719.46 : 114,173.13 = 46,930.42 : x
  2. Step 2: Convert to fraction form
    82,719.46/114,173.13 = 46,930.42/x
  3. Step 3: Cross multiply
    82,719.46x = 114,173.13 × 46,930.42
  4. Step 4: Simplify right side
    82,719.46x = 5,358,192,138.10
  5. Step 5: Solve for x
    x = 5,358,192,138.10/82,719.46
  6. Step 6: Final answer
    x = 64,775.48

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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.