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Finding the Fourth Proportional to 97,229.57, 145,844.31 and 23,357.57

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Solution

The fourth proportional to 97,229.57, 145,844.31 and 23,357.57 is: 35,036.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,229.57 : 145,844.31 = 23,357.57 : x
  2. Step 2: Convert to fraction form
    97,229.57/145,844.31 = 23,357.57/x
  3. Step 3: Cross multiply
    97,229.57x = 145,844.31 × 23,357.57
  4. Step 4: Simplify right side
    97,229.57x = 3,406,568,038.30
  5. Step 5: Solve for x
    x = 3,406,568,038.30/97,229.57
  6. Step 6: Final answer
    x = 35,036.34

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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.