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Finding the Fourth Proportional to 30,252.50, 45,378.76 and 8,364.50

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Solution

The fourth proportional to 30,252.50, 45,378.76 and 8,364.50 is: 12,546.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,252.50 : 45,378.76 = 8,364.50 : x
  2. Step 2: Convert to fraction form
    30,252.50/45,378.76 = 8,364.50/x
  3. Step 3: Cross multiply
    30,252.50x = 45,378.76 × 8,364.50
  4. Step 4: Simplify right side
    30,252.50x = 379,570,638.02
  5. Step 5: Solve for x
    x = 379,570,638.02/30,252.50
  6. Step 6: Final answer
    x = 12,546.75

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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.