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Finding the Fourth Proportional to 83,425.46, 125,154.54 and 30,835.40

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Solution

The fourth proportional to 83,425.46, 125,154.54 and 30,835.40 is: 46,259.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,425.46 : 125,154.54 = 30,835.40 : x
  2. Step 2: Convert to fraction form
    83,425.46/125,154.54 = 30,835.40/x
  3. Step 3: Cross multiply
    83,425.46x = 125,154.54 × 30,835.40
  4. Step 4: Simplify right side
    83,425.46x = 3,859,189,676.94
  5. Step 5: Solve for x
    x = 3,859,189,676.94/83,425.46
  6. Step 6: Final answer
    x = 46,259.14

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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.