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Finding the Fourth Proportional to 38,097.82, 52,577.96 and 21,970.32

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Solution

The fourth proportional to 38,097.82, 52,577.96 and 21,970.32 is: 30,320.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097.82 : 52,577.96 = 21,970.32 : x
  2. Step 2: Convert to fraction form
    38,097.82/52,577.96 = 21,970.32/x
  3. Step 3: Cross multiply
    38,097.82x = 52,577.96 × 21,970.32
  4. Step 4: Simplify right side
    38,097.82x = 1,155,154,606.15
  5. Step 5: Solve for x
    x = 1,155,154,606.15/38,097.82
  6. Step 6: Final answer
    x = 30,320.75

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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.