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Finding the Fourth Proportional to 34,271.92, 51,369 and 14,538.16

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Solution

The fourth proportional to 34,271.92, 51,369 and 14,538.16 is: 21,790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,271.92 : 51,369 = 14,538.16 : x
  2. Step 2: Convert to fraction form
    34,271.92/51,369 = 14,538.16/x
  3. Step 3: Cross multiply
    34,271.92x = 51,369 × 14,538.16
  4. Step 4: Simplify right side
    34,271.92x = 746,810,741.04
  5. Step 5: Solve for x
    x = 746,810,741.04/34,271.92
  6. Step 6: Final answer
    x = 21,790.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.