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Finding the Fourth Proportional to 46,708.68, 70,074.70 and 13,428.75

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Solution

The fourth proportional to 46,708.68, 70,074.70 and 13,428.75 is: 20,146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,708.68 : 70,074.70 = 13,428.75 : x
  2. Step 2: Convert to fraction form
    46,708.68/70,074.70 = 13,428.75/x
  3. Step 3: Cross multiply
    46,708.68x = 70,074.70 × 13,428.75
  4. Step 4: Simplify right side
    46,708.68x = 941,015,340.39
  5. Step 5: Solve for x
    x = 941,015,340.39/46,708.68
  6. Step 6: Final answer
    x = 20,146.48

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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.