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Finding the Fourth Proportional to 38,065.02, 57,097.92 and 17,006.16

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Solution

The fourth proportional to 38,065.02, 57,097.92 and 17,006.16 is: 25,509.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,065.02 : 57,097.92 = 17,006.16 : x
  2. Step 2: Convert to fraction form
    38,065.02/57,097.92 = 17,006.16/x
  3. Step 3: Cross multiply
    38,065.02x = 57,097.92 × 17,006.16
  4. Step 4: Simplify right side
    38,065.02x = 971,016,363.19
  5. Step 5: Solve for x
    x = 971,016,363.19/38,065.02
  6. Step 6: Final answer
    x = 25,509.41

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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.