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Finding the Fourth Proportional to 38,100.94, 52,574.31 and 21,968.85

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Solution

The fourth proportional to 38,100.94, 52,574.31 and 21,968.85 is: 30,314.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,100.94 : 52,574.31 = 21,968.85 : x
  2. Step 2: Convert to fraction form
    38,100.94/52,574.31 = 21,968.85/x
  3. Step 3: Cross multiply
    38,100.94x = 52,574.31 × 21,968.85
  4. Step 4: Simplify right side
    38,100.94x = 1,154,997,130.24
  5. Step 5: Solve for x
    x = 1,154,997,130.24/38,100.94
  6. Step 6: Final answer
    x = 30,314.14

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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.