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Finding the Fourth Proportional to 115,293.34, 172,945.31 and 35,325.58

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Solution

The fourth proportional to 115,293.34, 172,945.31 and 35,325.58 is: 52,989.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,293.34 : 172,945.31 = 35,325.58 : x
  2. Step 2: Convert to fraction form
    115,293.34/172,945.31 = 35,325.58/x
  3. Step 3: Cross multiply
    115,293.34x = 172,945.31 × 35,325.58
  4. Step 4: Simplify right side
    115,293.34x = 6,109,393,384.03
  5. Step 5: Solve for x
    x = 6,109,393,384.03/115,293.34
  6. Step 6: Final answer
    x = 52,989.99

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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.