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Finding the Fourth Proportional to 30,701.35, 46,052.02 and 10,978.71

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Solution

The fourth proportional to 30,701.35, 46,052.02 and 10,978.71 is: 16,468.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,701.35 : 46,052.02 = 10,978.71 : x
  2. Step 2: Convert to fraction form
    30,701.35/46,052.02 = 10,978.71/x
  3. Step 3: Cross multiply
    30,701.35x = 46,052.02 × 10,978.71
  4. Step 4: Simplify right side
    30,701.35x = 505,591,684.81
  5. Step 5: Solve for x
    x = 505,591,684.81/30,701.35
  6. Step 6: Final answer
    x = 16,468.06

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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.