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Finding the Fourth Proportional to 30,461.34, 45,699.21 and 9,684.84

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Solution

The fourth proportional to 30,461.34, 45,699.21 and 9,684.84 is: 14,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,461.34 : 45,699.21 = 9,684.84 : x
  2. Step 2: Convert to fraction form
    30,461.34/45,699.21 = 9,684.84/x
  3. Step 3: Cross multiply
    30,461.34x = 45,699.21 × 9,684.84
  4. Step 4: Simplify right side
    30,461.34x = 442,589,536.98
  5. Step 5: Solve for x
    x = 442,589,536.98/30,461.34
  6. Step 6: Final answer
    x = 14,529.55

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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.