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Finding the Fourth Proportional to 96,556.95, 144,852.21 and 32,509.01

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Solution

The fourth proportional to 96,556.95, 144,852.21 and 32,509.01 is: 48,769.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,556.95 : 144,852.21 = 32,509.01 : x
  2. Step 2: Convert to fraction form
    96,556.95/144,852.21 = 32,509.01/x
  3. Step 3: Cross multiply
    96,556.95x = 144,852.21 × 32,509.01
  4. Step 4: Simplify right side
    96,556.95x = 4,709,002,305.54
  5. Step 5: Solve for x
    x = 4,709,002,305.54/96,556.95
  6. Step 6: Final answer
    x = 48,769.17

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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.