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Finding the Fourth Proportional to 30,312.84, 41,849.07 and 20,258.31

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Solution

The fourth proportional to 30,312.84, 41,849.07 and 20,258.31 is: 27,968.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,312.84 : 41,849.07 = 20,258.31 : x
  2. Step 2: Convert to fraction form
    30,312.84/41,849.07 = 20,258.31/x
  3. Step 3: Cross multiply
    30,312.84x = 41,849.07 × 20,258.31
  4. Step 4: Simplify right side
    30,312.84x = 847,791,122.73
  5. Step 5: Solve for x
    x = 847,791,122.73/30,312.84
  6. Step 6: Final answer
    x = 27,968.06

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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.