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Finding the Fourth Proportional to 83,698.26, 115,504.41 and 45,972.51

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Solution

The fourth proportional to 83,698.26, 115,504.41 and 45,972.51 is: 63,442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,698.26 : 115,504.41 = 45,972.51 : x
  2. Step 2: Convert to fraction form
    83,698.26/115,504.41 = 45,972.51/x
  3. Step 3: Cross multiply
    83,698.26x = 115,504.41 × 45,972.51
  4. Step 4: Simplify right side
    83,698.26x = 5,310,027,643.77
  5. Step 5: Solve for x
    x = 5,310,027,643.77/83,698.26
  6. Step 6: Final answer
    x = 63,442.51

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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.