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Finding the Fourth Proportional to 38,300.50, 52,854.69 and 21,533.50

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Solution

The fourth proportional to 38,300.50, 52,854.69 and 21,533.50 is: 29,716.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,300.50 : 52,854.69 = 21,533.50 : x
  2. Step 2: Convert to fraction form
    38,300.50/52,854.69 = 21,533.50/x
  3. Step 3: Cross multiply
    38,300.50x = 52,854.69 × 21,533.50
  4. Step 4: Simplify right side
    38,300.50x = 1,138,146,467.12
  5. Step 5: Solve for x
    x = 1,138,146,467.12/38,300.50
  6. Step 6: Final answer
    x = 29,716.23

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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.