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Finding the Fourth Proportional to 38,455.38, 53,068.42 and 21,688.38

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Solution

The fourth proportional to 38,455.38, 53,068.42 and 21,688.38 is: 29,929.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,455.38 : 53,068.42 = 21,688.38 : x
  2. Step 2: Convert to fraction form
    38,455.38/53,068.42 = 21,688.38/x
  3. Step 3: Cross multiply
    38,455.38x = 53,068.42 × 21,688.38
  4. Step 4: Simplify right side
    38,455.38x = 1,150,968,058.96
  5. Step 5: Solve for x
    x = 1,150,968,058.96/38,455.38
  6. Step 6: Final answer
    x = 29,929.96

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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.