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Finding the Fourth Proportional to 30,232, 45,348 and 11,764

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Solution

The fourth proportional to 30,232, 45,348 and 11,764 is: 17,646

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,232 : 45,348 = 11,764 : x
  2. Step 2: Convert to fraction form
    30,232/45,348 = 11,764/x
  3. Step 3: Cross multiply
    30,232x = 45,348 × 11,764
  4. Step 4: Simplify right side
    30,232x = 533,473,872
  5. Step 5: Solve for x
    x = 533,473,872/30,232
  6. Step 6: Final answer
    x = 17,646

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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.