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Finding the Fourth Proportional to 35,014.15, 52,513.22 and 10,054

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Solution

The fourth proportional to 35,014.15, 52,513.22 and 10,054 is: 15,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,014.15 : 52,513.22 = 10,054 : x
  2. Step 2: Convert to fraction form
    35,014.15/52,513.22 = 10,054/x
  3. Step 3: Cross multiply
    35,014.15x = 52,513.22 × 10,054
  4. Step 4: Simplify right side
    35,014.15x = 527,967,863.61
  5. Step 5: Solve for x
    x = 527,967,863.61/35,014.15
  6. Step 6: Final answer
    x = 15,078.70

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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.