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Finding the Fourth Proportional to 30,975, 46,468.26 and 14,559

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Solution

The fourth proportional to 30,975, 46,468.26 and 14,559 is: 21,841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,975 : 46,468.26 = 14,559 : x
  2. Step 2: Convert to fraction form
    30,975/46,468.26 = 14,559/x
  3. Step 3: Cross multiply
    30,975x = 46,468.26 × 14,559
  4. Step 4: Simplify right side
    30,975x = 676,531,397.34
  5. Step 5: Solve for x
    x = 676,531,397.34/30,975
  6. Step 6: Final answer
    x = 21,841.21

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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.