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Finding the Fourth Proportional to 38,468.08, 53,083.90 and 21,700

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Solution

The fourth proportional to 38,468.08, 53,083.90 and 21,700 is: 29,944.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,468.08 : 53,083.90 = 21,700 : x
  2. Step 2: Convert to fraction form
    38,468.08/53,083.90 = 21,700/x
  3. Step 3: Cross multiply
    38,468.08x = 53,083.90 × 21,700
  4. Step 4: Simplify right side
    38,468.08x = 1,151,920,630
  5. Step 5: Solve for x
    x = 1,151,920,630/38,468.08
  6. Step 6: Final answer
    x = 29,944.84

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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.