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Finding the Fourth Proportional to 23,952.30, 35,741.12 and 21,461.75

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Solution

The fourth proportional to 23,952.30, 35,741.12 and 21,461.75 is: 32,024.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,952.30 : 35,741.12 = 21,461.75 : x
  2. Step 2: Convert to fraction form
    23,952.30/35,741.12 = 21,461.75/x
  3. Step 3: Cross multiply
    23,952.30x = 35,741.12 × 21,461.75
  4. Step 4: Simplify right side
    23,952.30x = 767,066,982.16
  5. Step 5: Solve for x
    x = 767,066,982.16/23,952.30
  6. Step 6: Final answer
    x = 32,024.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.