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Finding the Fourth Proportional to 115,292.34, 172,943.81 and 35,324.58

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Solution

The fourth proportional to 115,292.34, 172,943.81 and 35,324.58 is: 52,988.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,292.34 : 172,943.81 = 35,324.58 : x
  2. Step 2: Convert to fraction form
    115,292.34/172,943.81 = 35,324.58/x
  3. Step 3: Cross multiply
    115,292.34x = 172,943.81 × 35,324.58
  4. Step 4: Simplify right side
    115,292.34x = 6,109,167,451.85
  5. Step 5: Solve for x
    x = 6,109,167,451.85/115,292.34
  6. Step 6: Final answer
    x = 52,988.49

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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.