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Finding the Fourth Proportional to 32,810, 45,278.04 and 17,906

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Solution

The fourth proportional to 32,810, 45,278.04 and 17,906 is: 24,710.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,810 : 45,278.04 = 17,906 : x
  2. Step 2: Convert to fraction form
    32,810/45,278.04 = 17,906/x
  3. Step 3: Cross multiply
    32,810x = 45,278.04 × 17,906
  4. Step 4: Simplify right side
    32,810x = 810,748,584.24
  5. Step 5: Solve for x
    x = 810,748,584.24/32,810
  6. Step 6: Final answer
    x = 24,710.41

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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.