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Finding the Fourth Proportional to 115,135.57, 172,689.21 and 30,902.35

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Solution

The fourth proportional to 115,135.57, 172,689.21 and 30,902.35 is: 46,349.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,135.57 : 172,689.21 = 30,902.35 : x
  2. Step 2: Convert to fraction form
    115,135.57/172,689.21 = 30,902.35/x
  3. Step 3: Cross multiply
    115,135.57x = 172,689.21 × 30,902.35
  4. Step 4: Simplify right side
    115,135.57x = 5,336,502,408.64
  5. Step 5: Solve for x
    x = 5,336,502,408.64/115,135.57
  6. Step 6: Final answer
    x = 46,349.73

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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.