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Finding the Fourth Proportional to 38,467.50, 53,085.31 and 20,803.50

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Solution

The fourth proportional to 38,467.50, 53,085.31 and 20,803.50 is: 28,708.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,467.50 : 53,085.31 = 20,803.50 : x
  2. Step 2: Convert to fraction form
    38,467.50/53,085.31 = 20,803.50/x
  3. Step 3: Cross multiply
    38,467.50x = 53,085.31 × 20,803.50
  4. Step 4: Simplify right side
    38,467.50x = 1,104,360,246.59
  5. Step 5: Solve for x
    x = 1,104,360,246.59/38,467.50
  6. Step 6: Final answer
    x = 28,708.92

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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.