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Finding the Fourth Proportional to 32,961.34, 45,486.64 and 17,853.88

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Solution

The fourth proportional to 32,961.34, 45,486.64 and 17,853.88 is: 24,638.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,961.34 : 45,486.64 = 17,853.88 : x
  2. Step 2: Convert to fraction form
    32,961.34/45,486.64 = 17,853.88/x
  3. Step 3: Cross multiply
    32,961.34x = 45,486.64 × 17,853.88
  4. Step 4: Simplify right side
    32,961.34x = 812,113,012.16
  5. Step 5: Solve for x
    x = 812,113,012.16/32,961.34
  6. Step 6: Final answer
    x = 24,638.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.