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Finding the Fourth Proportional to 32,901, 45,403.74 and 17,997

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Solution

The fourth proportional to 32,901, 45,403.74 and 17,997 is: 24,836.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,901 : 45,403.74 = 17,997 : x
  2. Step 2: Convert to fraction form
    32,901/45,403.74 = 17,997/x
  3. Step 3: Cross multiply
    32,901x = 45,403.74 × 17,997
  4. Step 4: Simplify right side
    32,901x = 817,131,108.78
  5. Step 5: Solve for x
    x = 817,131,108.78/32,901
  6. Step 6: Final answer
    x = 24,836.06

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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.