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Finding the Fourth Proportional to 31,409.81, 43,330.78 and 18,663.38

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Solution

The fourth proportional to 31,409.81, 43,330.78 and 18,663.38 is: 25,746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,409.81 : 43,330.78 = 18,663.38 : x
  2. Step 2: Convert to fraction form
    31,409.81/43,330.78 = 18,663.38/x
  3. Step 3: Cross multiply
    31,409.81x = 43,330.78 × 18,663.38
  4. Step 4: Simplify right side
    31,409.81x = 808,698,782.00
  5. Step 5: Solve for x
    x = 808,698,782.00/31,409.81
  6. Step 6: Final answer
    x = 25,746.70

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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.