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Finding the Fourth Proportional to 34,699, 52,049.94 and 10,075

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Solution

The fourth proportional to 34,699, 52,049.94 and 10,075 is: 15,112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,699 : 52,049.94 = 10,075 : x
  2. Step 2: Convert to fraction form
    34,699/52,049.94 = 10,075/x
  3. Step 3: Cross multiply
    34,699x = 52,049.94 × 10,075
  4. Step 4: Simplify right side
    34,699x = 524,403,145.50
  5. Step 5: Solve for x
    x = 524,403,145.50/34,699
  6. Step 6: Final answer
    x = 15,112.92

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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.