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Finding the Fourth Proportional to 32,201.02, 48,315.44 and 17,420.34

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Solution

The fourth proportional to 32,201.02, 48,315.44 and 17,420.34 is: 26,138.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,201.02 : 48,315.44 = 17,420.34 : x
  2. Step 2: Convert to fraction form
    32,201.02/48,315.44 = 17,420.34/x
  3. Step 3: Cross multiply
    32,201.02x = 48,315.44 × 17,420.34
  4. Step 4: Simplify right side
    32,201.02x = 841,671,392.05
  5. Step 5: Solve for x
    x = 841,671,392.05/32,201.02
  6. Step 6: Final answer
    x = 26,138.04

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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.