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Finding the Fourth Proportional to 55,189.26, 82,726.26 and 25,582.68

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Solution

The fourth proportional to 55,189.26, 82,726.26 and 25,582.68 is: 38,347.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,189.26 : 82,726.26 = 25,582.68 : x
  2. Step 2: Convert to fraction form
    55,189.26/82,726.26 = 25,582.68/x
  3. Step 3: Cross multiply
    55,189.26x = 82,726.26 × 25,582.68
  4. Step 4: Simplify right side
    55,189.26x = 2,116,359,437.18
  5. Step 5: Solve for x
    x = 2,116,359,437.18/55,189.26
  6. Step 6: Final answer
    x = 38,347.31

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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.