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Finding the Fourth Proportional to 30,346.50, 45,527.44 and 8,458.50

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Solution

The fourth proportional to 30,346.50, 45,527.44 and 8,458.50 is: 12,689.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,346.50 : 45,527.44 = 8,458.50 : x
  2. Step 2: Convert to fraction form
    30,346.50/45,527.44 = 8,458.50/x
  3. Step 3: Cross multiply
    30,346.50x = 45,527.44 × 8,458.50
  4. Step 4: Simplify right side
    30,346.50x = 385,093,851.24
  5. Step 5: Solve for x
    x = 385,093,851.24/30,346.50
  6. Step 6: Final answer
    x = 12,689.89

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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.