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Finding the Fourth Proportional to 30,643.69, 45,968.18 and 8,457.07

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Solution

The fourth proportional to 30,643.69, 45,968.18 and 8,457.07 is: 12,686.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,643.69 : 45,968.18 = 8,457.07 : x
  2. Step 2: Convert to fraction form
    30,643.69/45,968.18 = 8,457.07/x
  3. Step 3: Cross multiply
    30,643.69x = 45,968.18 × 8,457.07
  4. Step 4: Simplify right side
    30,643.69x = 388,755,843.91
  5. Step 5: Solve for x
    x = 388,755,843.91/30,643.69
  6. Step 6: Final answer
    x = 12,686.33

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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.