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Finding the Fourth Proportional to 55,302, 82,953.31 and 13,749

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Solution

The fourth proportional to 55,302, 82,953.31 and 13,749 is: 20,623.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,302 : 82,953.31 = 13,749 : x
  2. Step 2: Convert to fraction form
    55,302/82,953.31 = 13,749/x
  3. Step 3: Cross multiply
    55,302x = 82,953.31 × 13,749
  4. Step 4: Simplify right side
    55,302x = 1,140,525,024.82
  5. Step 5: Solve for x
    x = 1,140,525,024.82/55,302
  6. Step 6: Final answer
    x = 20,623.58

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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.