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Finding the Fourth Proportional to 38,097.88, 52,570.56 and 21,965

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Solution

The fourth proportional to 38,097.88, 52,570.56 and 21,965 is: 30,309.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097.88 : 52,570.56 = 21,965 : x
  2. Step 2: Convert to fraction form
    38,097.88/52,570.56 = 21,965/x
  3. Step 3: Cross multiply
    38,097.88x = 52,570.56 × 21,965
  4. Step 4: Simplify right side
    38,097.88x = 1,154,712,350.40
  5. Step 5: Solve for x
    x = 1,154,712,350.40/38,097.88
  6. Step 6: Final answer
    x = 30,309.10

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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.