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Finding the Fourth Proportional to 40,465, 60,697.50 and 12,763

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Solution

The fourth proportional to 40,465, 60,697.50 and 12,763 is: 19,144.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,465 : 60,697.50 = 12,763 : x
  2. Step 2: Convert to fraction form
    40,465/60,697.50 = 12,763/x
  3. Step 3: Cross multiply
    40,465x = 60,697.50 × 12,763
  4. Step 4: Simplify right side
    40,465x = 774,682,192.50
  5. Step 5: Solve for x
    x = 774,682,192.50/40,465
  6. Step 6: Final answer
    x = 19,144.50

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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.