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Finding the Fourth Proportional to 38,970.30, 53,766.12 and 21,972.42

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Solution

The fourth proportional to 38,970.30, 53,766.12 and 21,972.42 is: 30,314.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,970.30 : 53,766.12 = 21,972.42 : x
  2. Step 2: Convert to fraction form
    38,970.30/53,766.12 = 21,972.42/x
  3. Step 3: Cross multiply
    38,970.30x = 53,766.12 × 21,972.42
  4. Step 4: Simplify right side
    38,970.30x = 1,181,371,770.41
  5. Step 5: Solve for x
    x = 1,181,371,770.41/38,970.30
  6. Step 6: Final answer
    x = 30,314.67

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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.