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Finding the Fourth Proportional to 35,036.52, 52,546.90 and 10,071

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Solution

The fourth proportional to 35,036.52, 52,546.90 and 10,071 is: 15,104.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,036.52 : 52,546.90 = 10,071 : x
  2. Step 2: Convert to fraction form
    35,036.52/52,546.90 = 10,071/x
  3. Step 3: Cross multiply
    35,036.52x = 52,546.90 × 10,071
  4. Step 4: Simplify right side
    35,036.52x = 529,199,829.90
  5. Step 5: Solve for x
    x = 529,199,829.90/35,036.52
  6. Step 6: Final answer
    x = 15,104.23

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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.