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Finding the Fourth Proportional to 31,751.44, 43,816.07 and 17,411.00

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Solution

The fourth proportional to 31,751.44, 43,816.07 and 17,411.00 is: 24,026.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,751.44 : 43,816.07 = 17,411.00 : x
  2. Step 2: Convert to fraction form
    31,751.44/43,816.07 = 17,411.00/x
  3. Step 3: Cross multiply
    31,751.44x = 43,816.07 × 17,411.00
  4. Step 4: Simplify right side
    31,751.44x = 762,881,419.22
  5. Step 5: Solve for x
    x = 762,881,419.22/31,751.44
  6. Step 6: Final answer
    x = 24,026.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.