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Finding the Fourth Proportional to 84,843.64, 117,070.17 and 49,036.98

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Solution

The fourth proportional to 84,843.64, 117,070.17 and 49,036.98 is: 67,662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,843.64 : 117,070.17 = 49,036.98 : x
  2. Step 2: Convert to fraction form
    84,843.64/117,070.17 = 49,036.98/x
  3. Step 3: Cross multiply
    84,843.64x = 117,070.17 × 49,036.98
  4. Step 4: Simplify right side
    84,843.64x = 5,740,767,584.89
  5. Step 5: Solve for x
    x = 5,740,767,584.89/84,843.64
  6. Step 6: Final answer
    x = 67,662.91

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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.