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Finding the Fourth Proportional to 30,205.58, 41,689.13 and 17,457.01

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Solution

The fourth proportional to 30,205.58, 41,689.13 and 17,457.01 is: 24,093.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,205.58 : 41,689.13 = 17,457.01 : x
  2. Step 2: Convert to fraction form
    30,205.58/41,689.13 = 17,457.01/x
  3. Step 3: Cross multiply
    30,205.58x = 41,689.13 × 17,457.01
  4. Step 4: Simplify right side
    30,205.58x = 727,767,559.30
  5. Step 5: Solve for x
    x = 727,767,559.30/30,205.58
  6. Step 6: Final answer
    x = 24,093.81

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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.