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Finding the Fourth Proportional to 34,933, 48,211.19 and 19,829.74

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Solution

The fourth proportional to 34,933, 48,211.19 and 19,829.74 is: 27,367.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,933 : 48,211.19 = 19,829.74 : x
  2. Step 2: Convert to fraction form
    34,933/48,211.19 = 19,829.74/x
  3. Step 3: Cross multiply
    34,933x = 48,211.19 × 19,829.74
  4. Step 4: Simplify right side
    34,933x = 956,015,263.64
  5. Step 5: Solve for x
    x = 956,015,263.64/34,933
  6. Step 6: Final answer
    x = 27,367.11

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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.