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Finding the Fourth Proportional to 55,262.80, 82,894.74 and 30,289.24

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Solution

The fourth proportional to 55,262.80, 82,894.74 and 30,289.24 is: 45,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,262.80 : 82,894.74 = 30,289.24 : x
  2. Step 2: Convert to fraction form
    55,262.80/82,894.74 = 30,289.24/x
  3. Step 3: Cross multiply
    55,262.80x = 82,894.74 × 30,289.24
  4. Step 4: Simplify right side
    55,262.80x = 2,510,818,674.60
  5. Step 5: Solve for x
    x = 2,510,818,674.60/55,262.80
  6. Step 6: Final answer
    x = 45,434.16

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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.