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Finding the Fourth Proportional to 32,005.26, 47,914.92 and 18,637.50

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Solution

The fourth proportional to 32,005.26, 47,914.92 and 18,637.50 is: 27,902.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,005.26 : 47,914.92 = 18,637.50 : x
  2. Step 2: Convert to fraction form
    32,005.26/47,914.92 = 18,637.50/x
  3. Step 3: Cross multiply
    32,005.26x = 47,914.92 × 18,637.50
  4. Step 4: Simplify right side
    32,005.26x = 893,014,321.50
  5. Step 5: Solve for x
    x = 893,014,321.50/32,005.26
  6. Step 6: Final answer
    x = 27,902.11

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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.