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Finding the Fourth Proportional to 32,617.76, 45,012.38 and 17,713.76

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Solution

The fourth proportional to 32,617.76, 45,012.38 and 17,713.76 is: 24,444.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,617.76 : 45,012.38 = 17,713.76 : x
  2. Step 2: Convert to fraction form
    32,617.76/45,012.38 = 17,713.76/x
  3. Step 3: Cross multiply
    32,617.76x = 45,012.38 × 17,713.76
  4. Step 4: Simplify right side
    32,617.76x = 797,338,496.35
  5. Step 5: Solve for x
    x = 797,338,496.35/32,617.76
  6. Step 6: Final answer
    x = 24,444.92

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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.