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Finding the Fourth Proportional to 55,509.68, 76,601.78 and 30,358.64

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Solution

The fourth proportional to 55,509.68, 76,601.78 and 30,358.64 is: 41,894.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,509.68 : 76,601.78 = 30,358.64 : x
  2. Step 2: Convert to fraction form
    55,509.68/76,601.78 = 30,358.64/x
  3. Step 3: Cross multiply
    55,509.68x = 76,601.78 × 30,358.64
  4. Step 4: Simplify right side
    55,509.68x = 2,325,525,862.38
  5. Step 5: Solve for x
    x = 2,325,525,862.38/55,509.68
  6. Step 6: Final answer
    x = 41,894.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.