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Finding the Fourth Proportional to 38,645, 53,330.10 and 21,878

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Solution

The fourth proportional to 38,645, 53,330.10 and 21,878 is: 30,191.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,645 : 53,330.10 = 21,878 : x
  2. Step 2: Convert to fraction form
    38,645/53,330.10 = 21,878/x
  3. Step 3: Cross multiply
    38,645x = 53,330.10 × 21,878
  4. Step 4: Simplify right side
    38,645x = 1,166,755,927.80
  5. Step 5: Solve for x
    x = 1,166,755,927.80/38,645
  6. Step 6: Final answer
    x = 30,191.64

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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.