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Finding the Fourth Proportional to 30,595.77, 45,884.83 and 8,409.87

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Solution

The fourth proportional to 30,595.77, 45,884.83 and 8,409.87 is: 12,612.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,595.77 : 45,884.83 = 8,409.87 : x
  2. Step 2: Convert to fraction form
    30,595.77/45,884.83 = 8,409.87/x
  3. Step 3: Cross multiply
    30,595.77x = 45,884.83 × 8,409.87
  4. Step 4: Simplify right side
    30,595.77x = 385,885,455.27
  5. Step 5: Solve for x
    x = 385,885,455.27/30,595.77
  6. Step 6: Final answer
    x = 12,612.38

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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.