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Finding the Fourth Proportional to 32,996, 45,534.48 and 18,092.32

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Solution

The fourth proportional to 32,996, 45,534.48 and 18,092.32 is: 24,967.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,996 : 45,534.48 = 18,092.32 : x
  2. Step 2: Convert to fraction form
    32,996/45,534.48 = 18,092.32/x
  3. Step 3: Cross multiply
    32,996x = 45,534.48 × 18,092.32
  4. Step 4: Simplify right side
    32,996x = 823,824,383.19
  5. Step 5: Solve for x
    x = 823,824,383.19/32,996
  6. Step 6: Final answer
    x = 24,967.40

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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.