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Finding the Fourth Proportional to 34,073, 47,020.74 and 19,169

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Solution

The fourth proportional to 34,073, 47,020.74 and 19,169 is: 26,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,073 : 47,020.74 = 19,169 : x
  2. Step 2: Convert to fraction form
    34,073/47,020.74 = 19,169/x
  3. Step 3: Cross multiply
    34,073x = 47,020.74 × 19,169
  4. Step 4: Simplify right side
    34,073x = 901,340,565.06
  5. Step 5: Solve for x
    x = 901,340,565.06/34,073
  6. Step 6: Final answer
    x = 26,453.22

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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.