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Finding the Fourth Proportional to 30,416.50, 45,624.55 and 8,232.15

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Solution

The fourth proportional to 30,416.50, 45,624.55 and 8,232.15 is: 12,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,416.50 : 45,624.55 = 8,232.15 : x
  2. Step 2: Convert to fraction form
    30,416.50/45,624.55 = 8,232.15/x
  3. Step 3: Cross multiply
    30,416.50x = 45,624.55 × 8,232.15
  4. Step 4: Simplify right side
    30,416.50x = 375,588,139.28
  5. Step 5: Solve for x
    x = 375,588,139.28/30,416.50
  6. Step 6: Final answer
    x = 12,348.17

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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.