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Finding the Fourth Proportional to 32,965.38, 45,492.30 and 17,857.98

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Solution

The fourth proportional to 32,965.38, 45,492.30 and 17,857.98 is: 24,644.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,965.38 : 45,492.30 = 17,857.98 : x
  2. Step 2: Convert to fraction form
    32,965.38/45,492.30 = 17,857.98/x
  3. Step 3: Cross multiply
    32,965.38x = 45,492.30 × 17,857.98
  4. Step 4: Simplify right side
    32,965.38x = 812,400,583.55
  5. Step 5: Solve for x
    x = 812,400,583.55/32,965.38
  6. Step 6: Final answer
    x = 24,644.05

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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.