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Finding the Fourth Proportional to 30,907.68, 46,361.60 and 16,881.76

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Solution

The fourth proportional to 30,907.68, 46,361.60 and 16,881.76 is: 25,322.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,907.68 : 46,361.60 = 16,881.76 : x
  2. Step 2: Convert to fraction form
    30,907.68/46,361.60 = 16,881.76/x
  3. Step 3: Cross multiply
    30,907.68x = 46,361.60 × 16,881.76
  4. Step 4: Simplify right side
    30,907.68x = 782,665,404.42
  5. Step 5: Solve for x
    x = 782,665,404.42/30,907.68
  6. Step 6: Final answer
    x = 25,322.68

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1.5x scale

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.