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Finding the Fourth Proportional to 40,272, 60,416.64 and 15,648

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Solution

The fourth proportional to 40,272, 60,416.64 and 15,648 is: 23,475.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,272 : 60,416.64 = 15,648 : x
  2. Step 2: Convert to fraction form
    40,272/60,416.64 = 15,648/x
  3. Step 3: Cross multiply
    40,272x = 60,416.64 × 15,648
  4. Step 4: Simplify right side
    40,272x = 945,399,582.72
  5. Step 5: Solve for x
    x = 945,399,582.72/40,272
  6. Step 6: Final answer
    x = 23,475.36

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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.