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Finding the Fourth Proportional to 38,308.16, 52,847.52 and 22,393.28

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Solution

The fourth proportional to 38,308.16, 52,847.52 and 22,393.28 is: 30,892.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,308.16 : 52,847.52 = 22,393.28 : x
  2. Step 2: Convert to fraction form
    38,308.16/52,847.52 = 22,393.28/x
  3. Step 3: Cross multiply
    38,308.16x = 52,847.52 × 22,393.28
  4. Step 4: Simplify right side
    38,308.16x = 1,183,429,312.67
  5. Step 5: Solve for x
    x = 1,183,429,312.67/38,308.16
  6. Step 6: Final answer
    x = 30,892.36

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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.