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Finding the Fourth Proportional to 38,200.41, 57,248.70 and 14,495.21

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Solution

The fourth proportional to 38,200.41, 57,248.70 and 14,495.21 is: 21,723.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,200.41 : 57,248.70 = 14,495.21 : x
  2. Step 2: Convert to fraction form
    38,200.41/57,248.70 = 14,495.21/x
  3. Step 3: Cross multiply
    38,200.41x = 57,248.70 × 14,495.21
  4. Step 4: Simplify right side
    38,200.41x = 829,831,802.81
  5. Step 5: Solve for x
    x = 829,831,802.81/38,200.41
  6. Step 6: Final answer
    x = 21,723.11

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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.