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Finding the Fourth Proportional to 32,602.50, 48,823.99 and 29,447.03

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Solution

The fourth proportional to 32,602.50, 48,823.99 and 29,447.03 is: 44,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,602.50 : 48,823.99 = 29,447.03 : x
  2. Step 2: Convert to fraction form
    32,602.50/48,823.99 = 29,447.03/x
  3. Step 3: Cross multiply
    32,602.50x = 48,823.99 × 29,447.03
  4. Step 4: Simplify right side
    32,602.50x = 1,437,721,546.69
  5. Step 5: Solve for x
    x = 1,437,721,546.69/32,602.50
  6. Step 6: Final answer
    x = 44,098.51

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Why These Related Problems?

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