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Finding the Fourth Proportional to 38,097.56, 57,133.70 and 13,137

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Solution

The fourth proportional to 38,097.56, 57,133.70 and 13,137 is: 19,701.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097.56 : 57,133.70 = 13,137 : x
  2. Step 2: Convert to fraction form
    38,097.56/57,133.70 = 13,137/x
  3. Step 3: Cross multiply
    38,097.56x = 57,133.70 × 13,137
  4. Step 4: Simplify right side
    38,097.56x = 750,565,416.90
  5. Step 5: Solve for x
    x = 750,565,416.90/38,097.56
  6. Step 6: Final answer
    x = 19,701.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.