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Finding the Fourth Proportional to 30,652.56, 45,973.98 and 8,461.80

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Solution

The fourth proportional to 30,652.56, 45,973.98 and 8,461.80 is: 12,691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,652.56 : 45,973.98 = 8,461.80 : x
  2. Step 2: Convert to fraction form
    30,652.56/45,973.98 = 8,461.80/x
  3. Step 3: Cross multiply
    30,652.56x = 45,973.98 × 8,461.80
  4. Step 4: Simplify right side
    30,652.56x = 389,022,623.96
  5. Step 5: Solve for x
    x = 389,022,623.96/30,652.56
  6. Step 6: Final answer
    x = 12,691.36

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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.