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Finding the Fourth Proportional to 35,080, 52,629.12 and 10,456

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Solution

The fourth proportional to 35,080, 52,629.12 and 10,456 is: 15,686.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,080 : 52,629.12 = 10,456 : x
  2. Step 2: Convert to fraction form
    35,080/52,629.12 = 10,456/x
  3. Step 3: Cross multiply
    35,080x = 52,629.12 × 10,456
  4. Step 4: Simplify right side
    35,080x = 550,290,078.72
  5. Step 5: Solve for x
    x = 550,290,078.72/35,080
  6. Step 6: Final answer
    x = 15,686.72

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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.