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Finding the Fourth Proportional to 35,167.61, 52,759.11 and 10,208

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Solution

The fourth proportional to 35,167.61, 52,759.11 and 10,208 is: 15,314.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,167.61 : 52,759.11 = 10,208 : x
  2. Step 2: Convert to fraction form
    35,167.61/52,759.11 = 10,208/x
  3. Step 3: Cross multiply
    35,167.61x = 52,759.11 × 10,208
  4. Step 4: Simplify right side
    35,167.61x = 538,564,994.88
  5. Step 5: Solve for x
    x = 538,564,994.88/35,167.61
  6. Step 6: Final answer
    x = 15,314.23

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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.