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Finding the Fourth Proportional to 32,885.66, 49,336.59 and 9,514.46

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Solution

The fourth proportional to 32,885.66, 49,336.59 and 9,514.46 is: 14,274.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,885.66 : 49,336.59 = 9,514.46 : x
  2. Step 2: Convert to fraction form
    32,885.66/49,336.59 = 9,514.46/x
  3. Step 3: Cross multiply
    32,885.66x = 49,336.59 × 9,514.46
  4. Step 4: Simplify right side
    32,885.66x = 469,411,171.11
  5. Step 5: Solve for x
    x = 469,411,171.11/32,885.66
  6. Step 6: Final answer
    x = 14,274.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.