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Finding the Fourth Proportional to 30,438.84, 45,672.74 and 21,093.24

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Solution

The fourth proportional to 30,438.84, 45,672.74 and 21,093.24 is: 31,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,438.84 : 45,672.74 = 21,093.24 : x
  2. Step 2: Convert to fraction form
    30,438.84/45,672.74 = 21,093.24/x
  3. Step 3: Cross multiply
    30,438.84x = 45,672.74 × 21,093.24
  4. Step 4: Simplify right side
    30,438.84x = 963,386,066.28
  5. Step 5: Solve for x
    x = 963,386,066.28/30,438.84
  6. Step 6: Final answer
    x = 31,649.89

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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.