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Finding the Fourth Proportional to 76,620.42, 105,738.21 and 46,411.20

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Solution

The fourth proportional to 76,620.42, 105,738.21 and 46,411.20 is: 64,048.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,620.42 : 105,738.21 = 46,411.20 : x
  2. Step 2: Convert to fraction form
    76,620.42/105,738.21 = 46,411.20/x
  3. Step 3: Cross multiply
    76,620.42x = 105,738.21 × 46,411.20
  4. Step 4: Simplify right side
    76,620.42x = 4,907,437,211.95
  5. Step 5: Solve for x
    x = 4,907,437,211.95/76,620.42
  6. Step 6: Final answer
    x = 64,048.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.