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Finding the Fourth Proportional to 34,907.50, 52,362.42 and 13,851.46

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Solution

The fourth proportional to 34,907.50, 52,362.42 and 13,851.46 is: 20,777.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,907.50 : 52,362.42 = 13,851.46 : x
  2. Step 2: Convert to fraction form
    34,907.50/52,362.42 = 13,851.46/x
  3. Step 3: Cross multiply
    34,907.50x = 52,362.42 × 13,851.46
  4. Step 4: Simplify right side
    34,907.50x = 725,295,966.13
  5. Step 5: Solve for x
    x = 725,295,966.13/34,907.50
  6. Step 6: Final answer
    x = 20,777.65

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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.