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Finding the Fourth Proportional to 57,662.06, 86,490 and 15,541.46

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Solution

The fourth proportional to 57,662.06, 86,490 and 15,541.46 is: 23,311.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,662.06 : 86,490 = 15,541.46 : x
  2. Step 2: Convert to fraction form
    57,662.06/86,490 = 15,541.46/x
  3. Step 3: Cross multiply
    57,662.06x = 86,490 × 15,541.46
  4. Step 4: Simplify right side
    57,662.06x = 1,344,180,875.40
  5. Step 5: Solve for x
    x = 1,344,180,875.40/57,662.06
  6. Step 6: Final answer
    x = 23,311.36

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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.