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Finding the Fourth Proportional to 30,352.10, 45,526.02 and 8,164.98

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Solution

The fourth proportional to 30,352.10, 45,526.02 and 8,164.98 is: 12,246.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,352.10 : 45,526.02 = 8,164.98 : x
  2. Step 2: Convert to fraction form
    30,352.10/45,526.02 = 8,164.98/x
  3. Step 3: Cross multiply
    30,352.10x = 45,526.02 × 8,164.98
  4. Step 4: Simplify right side
    30,352.10x = 371,719,042.78
  5. Step 5: Solve for x
    x = 371,719,042.78/30,352.10
  6. Step 6: Final answer
    x = 12,246.90

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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.