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Finding the Fourth Proportional to 38,205.93, 52,724.52 and 21,438.93

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Solution

The fourth proportional to 38,205.93, 52,724.52 and 21,438.93 is: 29,585.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,205.93 : 52,724.52 = 21,438.93 : x
  2. Step 2: Convert to fraction form
    38,205.93/52,724.52 = 21,438.93/x
  3. Step 3: Cross multiply
    38,205.93x = 52,724.52 × 21,438.93
  4. Step 4: Simplify right side
    38,205.93x = 1,130,357,293.56
  5. Step 5: Solve for x
    x = 1,130,357,293.56/38,205.93
  6. Step 6: Final answer
    x = 29,585.91

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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.