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Finding the Fourth Proportional to 32,674, 45,090.84 and 17,770

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Solution

The fourth proportional to 32,674, 45,090.84 and 17,770 is: 24,522.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,674 : 45,090.84 = 17,770 : x
  2. Step 2: Convert to fraction form
    32,674/45,090.84 = 17,770/x
  3. Step 3: Cross multiply
    32,674x = 45,090.84 × 17,770
  4. Step 4: Simplify right side
    32,674x = 801,264,226.80
  5. Step 5: Solve for x
    x = 801,264,226.80/32,674
  6. Step 6: Final answer
    x = 24,522.99

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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.