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Finding the Fourth Proportional to 70,406.09, 105,609.14 and 46,759.83

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Solution

The fourth proportional to 70,406.09, 105,609.14 and 46,759.83 is: 70,139.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,406.09 : 105,609.14 = 46,759.83 : x
  2. Step 2: Convert to fraction form
    70,406.09/105,609.14 = 46,759.83/x
  3. Step 3: Cross multiply
    70,406.09x = 105,609.14 × 46,759.83
  4. Step 4: Simplify right side
    70,406.09x = 4,938,265,199.05
  5. Step 5: Solve for x
    x = 4,938,265,199.05/70,406.09
  6. Step 6: Final answer
    x = 70,139.75

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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.