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Finding the Fourth Proportional to 38,643.63, 53,329.39 and 21,647.83

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Solution

The fourth proportional to 38,643.63, 53,329.39 and 21,647.83 is: 29,874.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,643.63 : 53,329.39 = 21,647.83 : x
  2. Step 2: Convert to fraction form
    38,643.63/53,329.39 = 21,647.83/x
  3. Step 3: Cross multiply
    38,643.63x = 53,329.39 × 21,647.83
  4. Step 4: Simplify right side
    38,643.63x = 1,154,465,631.26
  5. Step 5: Solve for x
    x = 1,154,465,631.26/38,643.63
  6. Step 6: Final answer
    x = 29,874.67

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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.