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Finding the Fourth Proportional to 30,805.14, 46,210.53 and 8,618.45

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Solution

The fourth proportional to 30,805.14, 46,210.53 and 8,618.45 is: 12,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,805.14 : 46,210.53 = 8,618.45 : x
  2. Step 2: Convert to fraction form
    30,805.14/46,210.53 = 8,618.45/x
  3. Step 3: Cross multiply
    30,805.14x = 46,210.53 × 8,618.45
  4. Step 4: Simplify right side
    30,805.14x = 398,262,911.23
  5. Step 5: Solve for x
    x = 398,262,911.23/30,805.14
  6. Step 6: Final answer
    x = 12,928.46

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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.