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Finding the Fourth Proportional to 32,857.41, 45,327.42 and 21,522

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Solution

The fourth proportional to 32,857.41, 45,327.42 and 21,522 is: 29,690.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,857.41 : 45,327.42 = 21,522 : x
  2. Step 2: Convert to fraction form
    32,857.41/45,327.42 = 21,522/x
  3. Step 3: Cross multiply
    32,857.41x = 45,327.42 × 21,522
  4. Step 4: Simplify right side
    32,857.41x = 975,536,733.24
  5. Step 5: Solve for x
    x = 975,536,733.24/32,857.41
  6. Step 6: Final answer
    x = 29,690.01

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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.