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Finding the Fourth Proportional to 36,271.36, 54,407.34 and 9,977.54

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Solution

The fourth proportional to 36,271.36, 54,407.34 and 9,977.54 is: 14,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,271.36 : 54,407.34 = 9,977.54 : x
  2. Step 2: Convert to fraction form
    36,271.36/54,407.34 = 9,977.54/x
  3. Step 3: Cross multiply
    36,271.36x = 54,407.34 × 9,977.54
  4. Step 4: Simplify right side
    36,271.36x = 542,851,411.14
  5. Step 5: Solve for x
    x = 542,851,411.14/36,271.36
  6. Step 6: Final answer
    x = 14,966.39

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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.