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Finding the Fourth Proportional to 23,901, 35,851.50 and 10,050

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Solution

The fourth proportional to 23,901, 35,851.50 and 10,050 is: 15,075

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,901 : 35,851.50 = 10,050 : x
  2. Step 2: Convert to fraction form
    23,901/35,851.50 = 10,050/x
  3. Step 3: Cross multiply
    23,901x = 35,851.50 × 10,050
  4. Step 4: Simplify right side
    23,901x = 360,307,575
  5. Step 5: Solve for x
    x = 360,307,575/23,901
  6. Step 6: Final answer
    x = 15,075

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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.