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Finding the Fourth Proportional to 65,907.89, 98,841.38 and 23,782.50

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Solution

The fourth proportional to 65,907.89, 98,841.38 and 23,782.50 is: 35,666.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,907.89 : 98,841.38 = 23,782.50 : x
  2. Step 2: Convert to fraction form
    65,907.89/98,841.38 = 23,782.50/x
  3. Step 3: Cross multiply
    65,907.89x = 98,841.38 × 23,782.50
  4. Step 4: Simplify right side
    65,907.89x = 2,350,695,000.94
  5. Step 5: Solve for x
    x = 2,350,695,000.94/65,907.89
  6. Step 6: Final answer
    x = 35,666.37

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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.