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Finding the Fourth Proportional to 30,444.20, 45,644.70 and 13,812.20

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Solution

The fourth proportional to 30,444.20, 45,644.70 and 13,812.20 is: 20,708.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,444.20 : 45,644.70 = 13,812.20 : x
  2. Step 2: Convert to fraction form
    30,444.20/45,644.70 = 13,812.20/x
  3. Step 3: Cross multiply
    30,444.20x = 45,644.70 × 13,812.20
  4. Step 4: Simplify right side
    30,444.20x = 630,453,725.34
  5. Step 5: Solve for x
    x = 630,453,725.34/30,444.20
  6. Step 6: Final answer
    x = 20,708.50

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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.