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Finding the Fourth Proportional to 38,354.29, 52,929.31 and 22,435.63

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Solution

The fourth proportional to 38,354.29, 52,929.31 and 22,435.63 is: 30,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,354.29 : 52,929.31 = 22,435.63 : x
  2. Step 2: Convert to fraction form
    38,354.29/52,929.31 = 22,435.63/x
  3. Step 3: Cross multiply
    38,354.29x = 52,929.31 × 22,435.63
  4. Step 4: Simplify right side
    38,354.29x = 1,187,502,415.32
  5. Step 5: Solve for x
    x = 1,187,502,415.32/38,354.29
  6. Step 6: Final answer
    x = 30,961.40

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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.