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Finding the Fourth Proportional to 78,739.74, 108,643.95 and 46,919.16

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Solution

The fourth proportional to 78,739.74, 108,643.95 and 46,919.16 is: 64,738.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,739.74 : 108,643.95 = 46,919.16 : x
  2. Step 2: Convert to fraction form
    78,739.74/108,643.95 = 46,919.16/x
  3. Step 3: Cross multiply
    78,739.74x = 108,643.95 × 46,919.16
  4. Step 4: Simplify right side
    78,739.74x = 5,097,482,873.08
  5. Step 5: Solve for x
    x = 5,097,482,873.08/78,739.74
  6. Step 6: Final answer
    x = 64,738.38

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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.