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Finding the Fourth Proportional to 81,858.46, 112,964.49 and 46,048.47

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Solution

The fourth proportional to 81,858.46, 112,964.49 and 46,048.47 is: 63,546.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,858.46 : 112,964.49 = 46,048.47 : x
  2. Step 2: Convert to fraction form
    81,858.46/112,964.49 = 46,048.47/x
  3. Step 3: Cross multiply
    81,858.46x = 112,964.49 × 46,048.47
  4. Step 4: Simplify right side
    81,858.46x = 5,201,841,364.01
  5. Step 5: Solve for x
    x = 5,201,841,364.01/81,858.46
  6. Step 6: Final answer
    x = 63,546.78

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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.