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Finding the Fourth Proportional to 32,476.26, 48,717.50 and 9,102.63

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Solution

The fourth proportional to 32,476.26, 48,717.50 and 9,102.63 is: 13,654.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,476.26 : 48,717.50 = 9,102.63 : x
  2. Step 2: Convert to fraction form
    32,476.26/48,717.50 = 9,102.63/x
  3. Step 3: Cross multiply
    32,476.26x = 48,717.50 × 9,102.63
  4. Step 4: Simplify right side
    32,476.26x = 443,457,565.40
  5. Step 5: Solve for x
    x = 443,457,565.40/32,476.26
  6. Step 6: Final answer
    x = 13,654.82

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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.