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Finding the Fourth Proportional to 35,114.50, 52,671.75 and 10,490.50

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Solution

The fourth proportional to 35,114.50, 52,671.75 and 10,490.50 is: 15,735.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,114.50 : 52,671.75 = 10,490.50 : x
  2. Step 2: Convert to fraction form
    35,114.50/52,671.75 = 10,490.50/x
  3. Step 3: Cross multiply
    35,114.50x = 52,671.75 × 10,490.50
  4. Step 4: Simplify right side
    35,114.50x = 552,552,993.38
  5. Step 5: Solve for x
    x = 552,552,993.38/35,114.50
  6. Step 6: Final answer
    x = 15,735.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.