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Finding the Fourth Proportional to 30,210.30, 41,689.04 and 16,782.41

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Solution

The fourth proportional to 30,210.30, 41,689.04 and 16,782.41 is: 23,159.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,210.30 : 41,689.04 = 16,782.41 : x
  2. Step 2: Convert to fraction form
    30,210.30/41,689.04 = 16,782.41/x
  3. Step 3: Cross multiply
    30,210.30x = 41,689.04 × 16,782.41
  4. Step 4: Simplify right side
    30,210.30x = 699,642,561.79
  5. Step 5: Solve for x
    x = 699,642,561.79/30,210.30
  6. Step 6: Final answer
    x = 23,159.07

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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.