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Finding the Fourth Proportional to 38,113.44, 52,575.12 and 26,916

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Solution

The fourth proportional to 38,113.44, 52,575.12 and 26,916 is: 37,128.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,113.44 : 52,575.12 = 26,916 : x
  2. Step 2: Convert to fraction form
    38,113.44/52,575.12 = 26,916/x
  3. Step 3: Cross multiply
    38,113.44x = 52,575.12 × 26,916
  4. Step 4: Simplify right side
    38,113.44x = 1,415,111,929.92
  5. Step 5: Solve for x
    x = 1,415,111,929.92/38,113.44
  6. Step 6: Final answer
    x = 37,128.95

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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.