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Finding the Fourth Proportional to 30,741.22, 42,423.03 and 17,312.70

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Solution

The fourth proportional to 30,741.22, 42,423.03 and 17,312.70 is: 23,891.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,741.22 : 42,423.03 = 17,312.70 : x
  2. Step 2: Convert to fraction form
    30,741.22/42,423.03 = 17,312.70/x
  3. Step 3: Cross multiply
    30,741.22x = 42,423.03 × 17,312.70
  4. Step 4: Simplify right side
    30,741.22x = 734,457,350.57
  5. Step 5: Solve for x
    x = 734,457,350.57/30,741.22
  6. Step 6: Final answer
    x = 23,891.61

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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.