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Finding the Fourth Proportional to 35,464.98, 53,131.05 and 31,813.50

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Solution

The fourth proportional to 35,464.98, 53,131.05 and 31,813.50 is: 47,660.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,464.98 : 53,131.05 = 31,813.50 : x
  2. Step 2: Convert to fraction form
    35,464.98/53,131.05 = 31,813.50/x
  3. Step 3: Cross multiply
    35,464.98x = 53,131.05 × 31,813.50
  4. Step 4: Simplify right side
    35,464.98x = 1,690,284,659.18
  5. Step 5: Solve for x
    x = 1,690,284,659.18/35,464.98
  6. Step 6: Final answer
    x = 47,660.67

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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.