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Finding the Fourth Proportional to 55,203.60, 82,829.70 and 25,606.20

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Solution

The fourth proportional to 55,203.60, 82,829.70 and 25,606.20 is: 38,420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,203.60 : 82,829.70 = 25,606.20 : x
  2. Step 2: Convert to fraction form
    55,203.60/82,829.70 = 25,606.20/x
  3. Step 3: Cross multiply
    55,203.60x = 82,829.70 × 25,606.20
  4. Step 4: Simplify right side
    55,203.60x = 2,120,953,864.14
  5. Step 5: Solve for x
    x = 2,120,953,864.14/55,203.60
  6. Step 6: Final answer
    x = 38,420.57

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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.