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Finding the Fourth Proportional to 38,380.49, 52,968.98 and 21,387.50

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Solution

The fourth proportional to 38,380.49, 52,968.98 and 21,387.50 is: 29,516.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,380.49 : 52,968.98 = 21,387.50 : x
  2. Step 2: Convert to fraction form
    38,380.49/52,968.98 = 21,387.50/x
  3. Step 3: Cross multiply
    38,380.49x = 52,968.98 × 21,387.50
  4. Step 4: Simplify right side
    38,380.49x = 1,132,874,085.23
  5. Step 5: Solve for x
    x = 1,132,874,085.23/38,380.49
  6. Step 6: Final answer
    x = 29,516.92

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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.