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Finding the Fourth Proportional to 30,278.12, 45,412.06 and 8,385

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Solution

The fourth proportional to 30,278.12, 45,412.06 and 8,385 is: 12,576.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,278.12 : 45,412.06 = 8,385 : x
  2. Step 2: Convert to fraction form
    30,278.12/45,412.06 = 8,385/x
  3. Step 3: Cross multiply
    30,278.12x = 45,412.06 × 8,385
  4. Step 4: Simplify right side
    30,278.12x = 380,780,123.10
  5. Step 5: Solve for x
    x = 380,780,123.10/30,278.12
  6. Step 6: Final answer
    x = 12,576.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.