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Finding the Fourth Proportional to 30,867.68, 46,239.76 and 14,204.88

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Solution

The fourth proportional to 30,867.68, 46,239.76 and 14,204.88 is: 21,278.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,867.68 : 46,239.76 = 14,204.88 : x
  2. Step 2: Convert to fraction form
    30,867.68/46,239.76 = 14,204.88/x
  3. Step 3: Cross multiply
    30,867.68x = 46,239.76 × 14,204.88
  4. Step 4: Simplify right side
    30,867.68x = 656,830,242.03
  5. Step 5: Solve for x
    x = 656,830,242.03/30,867.68
  6. Step 6: Final answer
    x = 21,278.90

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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.