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Finding the Fourth Proportional to 30,802.32, 42,518.70 and 23,982.84

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Solution

The fourth proportional to 30,802.32, 42,518.70 and 23,982.84 is: 33,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,802.32 : 42,518.70 = 23,982.84 : x
  2. Step 2: Convert to fraction form
    30,802.32/42,518.70 = 23,982.84/x
  3. Step 3: Cross multiply
    30,802.32x = 42,518.70 × 23,982.84
  4. Step 4: Simplify right side
    30,802.32x = 1,019,719,179.11
  5. Step 5: Solve for x
    x = 1,019,719,179.11/30,802.32
  6. Step 6: Final answer
    x = 33,105.27

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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.