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Finding the Fourth Proportional to 96,012.54, 144,092.32 and 43,458.93

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Solution

The fourth proportional to 96,012.54, 144,092.32 and 43,458.93 is: 65,221.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,012.54 : 144,092.32 = 43,458.93 : x
  2. Step 2: Convert to fraction form
    96,012.54/144,092.32 = 43,458.93/x
  3. Step 3: Cross multiply
    96,012.54x = 144,092.32 × 43,458.93
  4. Step 4: Simplify right side
    96,012.54x = 6,262,097,939.77
  5. Step 5: Solve for x
    x = 6,262,097,939.77/96,012.54
  6. Step 6: Final answer
    x = 65,221.67

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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.