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Finding the Fourth Proportional to 32,928, 45,440.64 and 18,024

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Solution

The fourth proportional to 32,928, 45,440.64 and 18,024 is: 24,873.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,928 : 45,440.64 = 18,024 : x
  2. Step 2: Convert to fraction form
    32,928/45,440.64 = 18,024/x
  3. Step 3: Cross multiply
    32,928x = 45,440.64 × 18,024
  4. Step 4: Simplify right side
    32,928x = 819,022,095.36
  5. Step 5: Solve for x
    x = 819,022,095.36/32,928
  6. Step 6: Final answer
    x = 24,873.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.