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Finding the Fourth Proportional to 46,771.40, 70,157.04 and 11,711

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Solution

The fourth proportional to 46,771.40, 70,157.04 and 11,711 is: 17,566.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,771.40 : 70,157.04 = 11,711 : x
  2. Step 2: Convert to fraction form
    46,771.40/70,157.04 = 11,711/x
  3. Step 3: Cross multiply
    46,771.40x = 70,157.04 × 11,711
  4. Step 4: Simplify right side
    46,771.40x = 821,609,095.44
  5. Step 5: Solve for x
    x = 821,609,095.44/46,771.40
  6. Step 6: Final answer
    x = 17,566.48

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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.