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Finding the Fourth Proportional to 38,645.10, 53,330.23 and 21,878.10

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Solution

The fourth proportional to 38,645.10, 53,330.23 and 21,878.10 is: 30,191.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,645.10 : 53,330.23 = 21,878.10 : x
  2. Step 2: Convert to fraction form
    38,645.10/53,330.23 = 21,878.10/x
  3. Step 3: Cross multiply
    38,645.10x = 53,330.23 × 21,878.10
  4. Step 4: Simplify right side
    38,645.10x = 1,166,763,838.31
  5. Step 5: Solve for x
    x = 1,166,763,838.31/38,645.10
  6. Step 6: Final answer
    x = 30,191.77

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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.