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Finding the Fourth Proportional to 40,586.79, 56,009.70 and 23,601

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Solution

The fourth proportional to 40,586.79, 56,009.70 and 23,601 is: 32,569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,586.79 : 56,009.70 = 23,601 : x
  2. Step 2: Convert to fraction form
    40,586.79/56,009.70 = 23,601/x
  3. Step 3: Cross multiply
    40,586.79x = 56,009.70 × 23,601
  4. Step 4: Simplify right side
    40,586.79x = 1,321,884,929.70
  5. Step 5: Solve for x
    x = 1,321,884,929.70/40,586.79
  6. Step 6: Final answer
    x = 32,569.34

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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.