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Finding the Fourth Proportional to 50,547, 75,817.31 and 19,740.37

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Solution

The fourth proportional to 50,547, 75,817.31 and 19,740.37 is: 29,609.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,547 : 75,817.31 = 19,740.37 : x
  2. Step 2: Convert to fraction form
    50,547/75,817.31 = 19,740.37/x
  3. Step 3: Cross multiply
    50,547x = 75,817.31 × 19,740.37
  4. Step 4: Simplify right side
    50,547x = 1,496,661,751.80
  5. Step 5: Solve for x
    x = 1,496,661,751.80/50,547
  6. Step 6: Final answer
    x = 29,609.31

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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.