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Finding the Fourth Proportional to 46,715.40, 70,097.40 and 20,422.80

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Solution

The fourth proportional to 46,715.40, 70,097.40 and 20,422.80 is: 30,644.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,715.40 : 70,097.40 = 20,422.80 : x
  2. Step 2: Convert to fraction form
    46,715.40/70,097.40 = 20,422.80/x
  3. Step 3: Cross multiply
    46,715.40x = 70,097.40 × 20,422.80
  4. Step 4: Simplify right side
    46,715.40x = 1,431,585,180.72
  5. Step 5: Solve for x
    x = 1,431,585,180.72/46,715.40
  6. Step 6: Final answer
    x = 30,644.82

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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.