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Finding the Fourth Proportional to 78,338.88, 108,120.96 and 46,524.96

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Solution

The fourth proportional to 78,338.88, 108,120.96 and 46,524.96 is: 64,212.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,338.88 : 108,120.96 = 46,524.96 : x
  2. Step 2: Convert to fraction form
    78,338.88/108,120.96 = 46,524.96/x
  3. Step 3: Cross multiply
    78,338.88x = 108,120.96 × 46,524.96
  4. Step 4: Simplify right side
    78,338.88x = 5,030,323,339.16
  5. Step 5: Solve for x
    x = 5,030,323,339.16/78,338.88
  6. Step 6: Final answer
    x = 64,212.35

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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.