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Finding the Fourth Proportional to 38,733.50, 53,452.23 and 21,966.50

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Solution

The fourth proportional to 38,733.50, 53,452.23 and 21,966.50 is: 30,313.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,733.50 : 53,452.23 = 21,966.50 : x
  2. Step 2: Convert to fraction form
    38,733.50/53,452.23 = 21,966.50/x
  3. Step 3: Cross multiply
    38,733.50x = 53,452.23 × 21,966.50
  4. Step 4: Simplify right side
    38,733.50x = 1,174,158,410.30
  5. Step 5: Solve for x
    x = 1,174,158,410.30/38,733.50
  6. Step 6: Final answer
    x = 30,313.77

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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.