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Finding the Fourth Proportional to 26,838, 40,277.76 and 18,575.76

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Solution

The fourth proportional to 26,838, 40,277.76 and 18,575.76 is: 27,878.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,838 : 40,277.76 = 18,575.76 : x
  2. Step 2: Convert to fraction form
    26,838/40,277.76 = 18,575.76/x
  3. Step 3: Cross multiply
    26,838x = 40,277.76 × 18,575.76
  4. Step 4: Simplify right side
    26,838x = 748,190,003.10
  5. Step 5: Solve for x
    x = 748,190,003.10/26,838
  6. Step 6: Final answer
    x = 27,878.01

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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.