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Finding the Fourth Proportional to 96,882.81, 145,332.65 and 26,762.19

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Solution

The fourth proportional to 96,882.81, 145,332.65 and 26,762.19 is: 40,145.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,882.81 : 145,332.65 = 26,762.19 : x
  2. Step 2: Convert to fraction form
    96,882.81/145,332.65 = 26,762.19/x
  3. Step 3: Cross multiply
    96,882.81x = 145,332.65 × 26,762.19
  4. Step 4: Simplify right side
    96,882.81x = 3,889,419,992.50
  5. Step 5: Solve for x
    x = 3,889,419,992.50/96,882.81
  6. Step 6: Final answer
    x = 40,145.62

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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.