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Finding the Fourth Proportional to 82,709.75, 114,165.47 and 46,923.54

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Solution

The fourth proportional to 82,709.75, 114,165.47 and 46,923.54 is: 64,769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,709.75 : 114,165.47 = 46,923.54 : x
  2. Step 2: Convert to fraction form
    82,709.75/114,165.47 = 46,923.54/x
  3. Step 3: Cross multiply
    82,709.75x = 114,165.47 × 46,923.54
  4. Step 4: Simplify right side
    82,709.75x = 5,357,047,998.16
  5. Step 5: Solve for x
    x = 5,357,047,998.16/82,709.75
  6. Step 6: Final answer
    x = 64,769.24

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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.