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Finding the Fourth Proportional to 83,460.48, 125,103.24 and 30,836.40

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Solution

The fourth proportional to 83,460.48, 125,103.24 and 30,836.40 is: 46,222.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,460.48 : 125,103.24 = 30,836.40 : x
  2. Step 2: Convert to fraction form
    83,460.48/125,103.24 = 30,836.40/x
  3. Step 3: Cross multiply
    83,460.48x = 125,103.24 × 30,836.40
  4. Step 4: Simplify right side
    83,460.48x = 3,857,733,549.94
  5. Step 5: Solve for x
    x = 3,857,733,549.94/83,460.48
  6. Step 6: Final answer
    x = 46,222.28

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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.