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Finding the Fourth Proportional to 38,094.96, 52,566.08 and 21,328

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Solution

The fourth proportional to 38,094.96, 52,566.08 and 21,328 is: 29,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,094.96 : 52,566.08 = 21,328 : x
  2. Step 2: Convert to fraction form
    38,094.96/52,566.08 = 21,328/x
  3. Step 3: Cross multiply
    38,094.96x = 52,566.08 × 21,328
  4. Step 4: Simplify right side
    38,094.96x = 1,121,129,354.24
  5. Step 5: Solve for x
    x = 1,121,129,354.24/38,094.96
  6. Step 6: Final answer
    x = 29,429.86

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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.