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Finding the Fourth Proportional to 46,958.98, 70,415.42 and 23,239.12

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Solution

The fourth proportional to 46,958.98, 70,415.42 and 23,239.12 is: 34,847.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,958.98 : 70,415.42 = 23,239.12 : x
  2. Step 2: Convert to fraction form
    46,958.98/70,415.42 = 23,239.12/x
  3. Step 3: Cross multiply
    46,958.98x = 70,415.42 × 23,239.12
  4. Step 4: Simplify right side
    46,958.98x = 1,636,392,043.15
  5. Step 5: Solve for x
    x = 1,636,392,043.15/46,958.98
  6. Step 6: Final answer
    x = 34,847.27

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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.