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Finding the Fourth Proportional to 83,265.70, 124,855.35 and 30,648.10

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Solution

The fourth proportional to 83,265.70, 124,855.35 and 30,648.10 is: 45,956.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,265.70 : 124,855.35 = 30,648.10 : x
  2. Step 2: Convert to fraction form
    83,265.70/124,855.35 = 30,648.10/x
  3. Step 3: Cross multiply
    83,265.70x = 124,855.35 × 30,648.10
  4. Step 4: Simplify right side
    83,265.70x = 3,826,579,252.34
  5. Step 5: Solve for x
    x = 3,826,579,252.34/83,265.70
  6. Step 6: Final answer
    x = 45,956.25

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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.