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Finding the Fourth Proportional to 30,564, 42,164.96 and 21,619.17

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Solution

The fourth proportional to 30,564, 42,164.96 and 21,619.17 is: 29,825.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,564 : 42,164.96 = 21,619.17 : x
  2. Step 2: Convert to fraction form
    30,564/42,164.96 = 21,619.17/x
  3. Step 3: Cross multiply
    30,564x = 42,164.96 × 21,619.17
  4. Step 4: Simplify right side
    30,564x = 911,571,330.19
  5. Step 5: Solve for x
    x = 911,571,330.19/30,564
  6. Step 6: Final answer
    x = 29,825.00

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.