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Finding the Fourth Proportional to 96,150.08, 144,186.16 and 39,952

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Solution

The fourth proportional to 96,150.08, 144,186.16 and 39,952 is: 59,911.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,150.08 : 144,186.16 = 39,952 : x
  2. Step 2: Convert to fraction form
    96,150.08/144,186.16 = 39,952/x
  3. Step 3: Cross multiply
    96,150.08x = 144,186.16 × 39,952
  4. Step 4: Simplify right side
    96,150.08x = 5,760,525,464.32
  5. Step 5: Solve for x
    x = 5,760,525,464.32/96,150.08
  6. Step 6: Final answer
    x = 59,911.81

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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.