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Finding the Fourth Proportional to 82,809.95, 114,273.79 and 46,995.09

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Solution

The fourth proportional to 82,809.95, 114,273.79 and 46,995.09 is: 64,850.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,809.95 : 114,273.79 = 46,995.09 : x
  2. Step 2: Convert to fraction form
    82,809.95/114,273.79 = 46,995.09/x
  3. Step 3: Cross multiply
    82,809.95x = 114,273.79 × 46,995.09
  4. Step 4: Simplify right side
    82,809.95x = 5,370,306,499.68
  5. Step 5: Solve for x
    x = 5,370,306,499.68/82,809.95
  6. Step 6: Final answer
    x = 64,850.98

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1.5x scale

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.