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Finding the Fourth Proportional to 34,382.22, 47,446.11 and 19,478.22

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Solution

The fourth proportional to 34,382.22, 47,446.11 and 19,478.22 is: 26,879.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,382.22 : 47,446.11 = 19,478.22 : x
  2. Step 2: Convert to fraction form
    34,382.22/47,446.11 = 19,478.22/x
  3. Step 3: Cross multiply
    34,382.22x = 47,446.11 × 19,478.22
  4. Step 4: Simplify right side
    34,382.22x = 924,165,768.72
  5. Step 5: Solve for x
    x = 924,165,768.72/34,382.22
  6. Step 6: Final answer
    x = 26,879.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.