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Finding the Fourth Proportional to 38,523.04, 53,162.16 and 21,528.64

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Solution

The fourth proportional to 38,523.04, 53,162.16 and 21,528.64 is: 29,709.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,523.04 : 53,162.16 = 21,528.64 : x
  2. Step 2: Convert to fraction form
    38,523.04/53,162.16 = 21,528.64/x
  3. Step 3: Cross multiply
    38,523.04x = 53,162.16 × 21,528.64
  4. Step 4: Simplify right side
    38,523.04x = 1,144,509,004.26
  5. Step 5: Solve for x
    x = 1,144,509,004.26/38,523.04
  6. Step 6: Final answer
    x = 29,709.73

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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.