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Finding the Fourth Proportional to 46,765.50, 70,147.85 and 11,705.33

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Solution

The fourth proportional to 46,765.50, 70,147.85 and 11,705.33 is: 17,557.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,765.50 : 70,147.85 = 11,705.33 : x
  2. Step 2: Convert to fraction form
    46,765.50/70,147.85 = 11,705.33/x
  3. Step 3: Cross multiply
    46,765.50x = 70,147.85 × 11,705.33
  4. Step 4: Simplify right side
    46,765.50x = 821,103,323.77
  5. Step 5: Solve for x
    x = 821,103,323.77/46,765.50
  6. Step 6: Final answer
    x = 17,557.89

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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.