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Finding the Fourth Proportional to 32,809, 45,276.58 and 17,905

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Solution

The fourth proportional to 32,809, 45,276.58 and 17,905 is: 24,708.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,809 : 45,276.58 = 17,905 : x
  2. Step 2: Convert to fraction form
    32,809/45,276.58 = 17,905/x
  3. Step 3: Cross multiply
    32,809x = 45,276.58 × 17,905
  4. Step 4: Simplify right side
    32,809x = 810,677,164.90
  5. Step 5: Solve for x
    x = 810,677,164.90/32,809
  6. Step 6: Final answer
    x = 24,708.99

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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.