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Finding the Fourth Proportional to 38,457.20, 57,653.40 and 19,989.20

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Solution

The fourth proportional to 38,457.20, 57,653.40 and 19,989.20 is: 29,966.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,457.20 : 57,653.40 = 19,989.20 : x
  2. Step 2: Convert to fraction form
    38,457.20/57,653.40 = 19,989.20/x
  3. Step 3: Cross multiply
    38,457.20x = 57,653.40 × 19,989.20
  4. Step 4: Simplify right side
    38,457.20x = 1,152,445,343.28
  5. Step 5: Solve for x
    x = 1,152,445,343.28/38,457.20
  6. Step 6: Final answer
    x = 29,966.96

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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.