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Finding the Fourth Proportional to 30,592.88, 45,883.82 and 8,103.70

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Solution

The fourth proportional to 30,592.88, 45,883.82 and 8,103.70 is: 12,154.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,592.88 : 45,883.82 = 8,103.70 : x
  2. Step 2: Convert to fraction form
    30,592.88/45,883.82 = 8,103.70/x
  3. Step 3: Cross multiply
    30,592.88x = 45,883.82 × 8,103.70
  4. Step 4: Simplify right side
    30,592.88x = 371,828,712.13
  5. Step 5: Solve for x
    x = 371,828,712.13/30,592.88
  6. Step 6: Final answer
    x = 12,154.09

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1.5x scale

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.