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Finding the Fourth Proportional to 78,298.85, 108,054.81 and 46,027.55

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Solution

The fourth proportional to 78,298.85, 108,054.81 and 46,027.55 is: 63,519.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,298.85 : 108,054.81 = 46,027.55 : x
  2. Step 2: Convert to fraction form
    78,298.85/108,054.81 = 46,027.55/x
  3. Step 3: Cross multiply
    78,298.85x = 108,054.81 × 46,027.55
  4. Step 4: Simplify right side
    78,298.85x = 4,973,497,629.74
  5. Step 5: Solve for x
    x = 4,973,497,629.74/78,298.85
  6. Step 6: Final answer
    x = 63,519.43

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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.