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Finding the Fourth Proportional to 82,812.60, 124,209.30 and 23,657.40

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Solution

The fourth proportional to 82,812.60, 124,209.30 and 23,657.40 is: 35,483.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,812.60 : 124,209.30 = 23,657.40 : x
  2. Step 2: Convert to fraction form
    82,812.60/124,209.30 = 23,657.40/x
  3. Step 3: Cross multiply
    82,812.60x = 124,209.30 × 23,657.40
  4. Step 4: Simplify right side
    82,812.60x = 2,938,469,093.82
  5. Step 5: Solve for x
    x = 2,938,469,093.82/82,812.60
  6. Step 6: Final answer
    x = 35,483.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.