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Finding the Fourth Proportional to 32,200.02, 48,313.94 and 17,419.34

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Solution

The fourth proportional to 32,200.02, 48,313.94 and 17,419.34 is: 26,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,200.02 : 48,313.94 = 17,419.34 : x
  2. Step 2: Convert to fraction form
    32,200.02/48,313.94 = 17,419.34/x
  3. Step 3: Cross multiply
    32,200.02x = 48,313.94 × 17,419.34
  4. Step 4: Simplify right side
    32,200.02x = 841,596,981.29
  5. Step 5: Solve for x
    x = 841,596,981.29/32,200.02
  6. Step 6: Final answer
    x = 26,136.54

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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.