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Finding the Fourth Proportional to 70,522.80, 105,784.20 and 31,059.60

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Solution

The fourth proportional to 70,522.80, 105,784.20 and 31,059.60 is: 46,589.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,522.80 : 105,784.20 = 31,059.60 : x
  2. Step 2: Convert to fraction form
    70,522.80/105,784.20 = 31,059.60/x
  3. Step 3: Cross multiply
    70,522.80x = 105,784.20 × 31,059.60
  4. Step 4: Simplify right side
    70,522.80x = 3,285,614,938.32
  5. Step 5: Solve for x
    x = 3,285,614,938.32/70,522.80
  6. Step 6: Final answer
    x = 46,589.40

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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.