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Finding the Fourth Proportional to 55,420.40, 83,141.40 and 23,830.40

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Solution

The fourth proportional to 55,420.40, 83,141.40 and 23,830.40 is: 35,750.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,420.40 : 83,141.40 = 23,830.40 : x
  2. Step 2: Convert to fraction form
    55,420.40/83,141.40 = 23,830.40/x
  3. Step 3: Cross multiply
    55,420.40x = 83,141.40 × 23,830.40
  4. Step 4: Simplify right side
    55,420.40x = 1,981,292,818.56
  5. Step 5: Solve for x
    x = 1,981,292,818.56/55,420.40
  6. Step 6: Final answer
    x = 35,750.24

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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.