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Finding the Fourth Proportional to 38,213.86, 52,775.17 and 26,307.94

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Solution

The fourth proportional to 38,213.86, 52,775.17 and 26,307.94 is: 36,332.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,213.86 : 52,775.17 = 26,307.94 : x
  2. Step 2: Convert to fraction form
    38,213.86/52,775.17 = 26,307.94/x
  3. Step 3: Cross multiply
    38,213.86x = 52,775.17 × 26,307.94
  4. Step 4: Simplify right side
    38,213.86x = 1,388,406,005.85
  5. Step 5: Solve for x
    x = 1,388,406,005.85/38,213.86
  6. Step 6: Final answer
    x = 36,332.52

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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.