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Finding the Fourth Proportional to 38,485.92, 53,114.64 and 21,715.68

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Solution

The fourth proportional to 38,485.92, 53,114.64 and 21,715.68 is: 29,969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,485.92 : 53,114.64 = 21,715.68 : x
  2. Step 2: Convert to fraction form
    38,485.92/53,114.64 = 21,715.68/x
  3. Step 3: Cross multiply
    38,485.92x = 53,114.64 × 21,715.68
  4. Step 4: Simplify right side
    38,485.92x = 1,153,420,525.56
  5. Step 5: Solve for x
    x = 1,153,420,525.56/38,485.92
  6. Step 6: Final answer
    x = 29,969.94

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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.