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Finding the Fourth Proportional to 70,480.80, 105,518.12 and 46,812

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Solution

The fourth proportional to 70,480.80, 105,518.12 and 46,812 is: 70,083.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,480.80 : 105,518.12 = 46,812 : x
  2. Step 2: Convert to fraction form
    70,480.80/105,518.12 = 46,812/x
  3. Step 3: Cross multiply
    70,480.80x = 105,518.12 × 46,812
  4. Step 4: Simplify right side
    70,480.80x = 4,939,514,233.44
  5. Step 5: Solve for x
    x = 4,939,514,233.44/70,480.80
  6. Step 6: Final answer
    x = 70,083.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.