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Finding the Fourth Proportional to 32,632, 45,032.16 and 17,728

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Solution

The fourth proportional to 32,632, 45,032.16 and 17,728 is: 24,464.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,632 : 45,032.16 = 17,728 : x
  2. Step 2: Convert to fraction form
    32,632/45,032.16 = 17,728/x
  3. Step 3: Cross multiply
    32,632x = 45,032.16 × 17,728
  4. Step 4: Simplify right side
    32,632x = 798,330,132.48
  5. Step 5: Solve for x
    x = 798,330,132.48/32,632
  6. Step 6: Final answer
    x = 24,464.64

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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.