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Finding the Fourth Proportional to 40,429.54, 55,791 and 22,526.50

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Solution

The fourth proportional to 40,429.54, 55,791 and 22,526.50 is: 31,085.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,429.54 : 55,791 = 22,526.50 : x
  2. Step 2: Convert to fraction form
    40,429.54/55,791 = 22,526.50/x
  3. Step 3: Cross multiply
    40,429.54x = 55,791 × 22,526.50
  4. Step 4: Simplify right side
    40,429.54x = 1,256,775,961.50
  5. Step 5: Solve for x
    x = 1,256,775,961.50/40,429.54
  6. Step 6: Final answer
    x = 31,085.59

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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.