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Finding the Fourth Proportional to 30,624, 45,953.28 and 14,208

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Solution

The fourth proportional to 30,624, 45,953.28 and 14,208 is: 21,320.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,624 : 45,953.28 = 14,208 : x
  2. Step 2: Convert to fraction form
    30,624/45,953.28 = 14,208/x
  3. Step 3: Cross multiply
    30,624x = 45,953.28 × 14,208
  4. Step 4: Simplify right side
    30,624x = 652,904,202.24
  5. Step 5: Solve for x
    x = 652,904,202.24/30,624
  6. Step 6: Final answer
    x = 21,320.02

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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.