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Finding the Fourth Proportional to 38,013.40, 57,020.10 and 9,933.40

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Solution

The fourth proportional to 38,013.40, 57,020.10 and 9,933.40 is: 14,900.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,013.40 : 57,020.10 = 9,933.40 : x
  2. Step 2: Convert to fraction form
    38,013.40/57,020.10 = 9,933.40/x
  3. Step 3: Cross multiply
    38,013.40x = 57,020.10 × 9,933.40
  4. Step 4: Simplify right side
    38,013.40x = 566,403,461.34
  5. Step 5: Solve for x
    x = 566,403,461.34/38,013.40
  6. Step 6: Final answer
    x = 14,900.10

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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.