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Finding the Fourth Proportional to 32,402, 48,493.26 and 19,929.94

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Solution

The fourth proportional to 32,402, 48,493.26 and 19,929.94 is: 29,827.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,402 : 48,493.26 = 19,929.94 : x
  2. Step 2: Convert to fraction form
    32,402/48,493.26 = 19,929.94/x
  3. Step 3: Cross multiply
    32,402x = 48,493.26 × 19,929.94
  4. Step 4: Simplify right side
    32,402x = 966,467,762.20
  5. Step 5: Solve for x
    x = 966,467,762.20/32,402
  6. Step 6: Final answer
    x = 29,827.41

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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.