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Finding the Fourth Proportional to 30,769.59, 46,158.96 and 9,707.42

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Solution

The fourth proportional to 30,769.59, 46,158.96 and 9,707.42 is: 14,562.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,769.59 : 46,158.96 = 9,707.42 : x
  2. Step 2: Convert to fraction form
    30,769.59/46,158.96 = 9,707.42/x
  3. Step 3: Cross multiply
    30,769.59x = 46,158.96 × 9,707.42
  4. Step 4: Simplify right side
    30,769.59x = 448,084,180.69
  5. Step 5: Solve for x
    x = 448,084,180.69/30,769.59
  6. Step 6: Final answer
    x = 14,562.57

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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.