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Finding the Fourth Proportional to 31,409.40, 47,190.90 and 23,633.40

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Solution

The fourth proportional to 31,409.40, 47,190.90 and 23,633.40 is: 35,507.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.40 : 47,190.90 = 23,633.40 : x
  2. Step 2: Convert to fraction form
    31,409.40/47,190.90 = 23,633.40/x
  3. Step 3: Cross multiply
    31,409.40x = 47,190.90 × 23,633.40
  4. Step 4: Simplify right side
    31,409.40x = 1,115,281,416.06
  5. Step 5: Solve for x
    x = 1,115,281,416.06/31,409.40
  6. Step 6: Final answer
    x = 35,507.89

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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.