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Finding the Fourth Proportional to 30,503.50, 45,753.88 and 8,316.86

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Solution

The fourth proportional to 30,503.50, 45,753.88 and 8,316.86 is: 12,474.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,503.50 : 45,753.88 = 8,316.86 : x
  2. Step 2: Convert to fraction form
    30,503.50/45,753.88 = 8,316.86/x
  3. Step 3: Cross multiply
    30,503.50x = 45,753.88 × 8,316.86
  4. Step 4: Simplify right side
    30,503.50x = 380,528,614.42
  5. Step 5: Solve for x
    x = 380,528,614.42/30,503.50
  6. Step 6: Final answer
    x = 12,474.92

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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.