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Finding the Fourth Proportional to 38,337, 52,904.64 and 26,868

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Solution

The fourth proportional to 38,337, 52,904.64 and 26,868 is: 37,077.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,337 : 52,904.64 = 26,868 : x
  2. Step 2: Convert to fraction form
    38,337/52,904.64 = 26,868/x
  3. Step 3: Cross multiply
    38,337x = 52,904.64 × 26,868
  4. Step 4: Simplify right side
    38,337x = 1,421,441,867.52
  5. Step 5: Solve for x
    x = 1,421,441,867.52/38,337
  6. Step 6: Final answer
    x = 37,077.55

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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.