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Finding the Fourth Proportional to 78,145.44, 107,804.97 and 46,296.24

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Solution

The fourth proportional to 78,145.44, 107,804.97 and 46,296.24 is: 63,867.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,145.44 : 107,804.97 = 46,296.24 : x
  2. Step 2: Convert to fraction form
    78,145.44/107,804.97 = 46,296.24/x
  3. Step 3: Cross multiply
    78,145.44x = 107,804.97 × 46,296.24
  4. Step 4: Simplify right side
    78,145.44x = 4,990,964,764.31
  5. Step 5: Solve for x
    x = 4,990,964,764.31/78,145.44
  6. Step 6: Final answer
    x = 63,867.64

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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.