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Finding the Fourth Proportional to 42,648, 63,972 and 14,946

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Solution

The fourth proportional to 42,648, 63,972 and 14,946 is: 22,419

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,648 : 63,972 = 14,946 : x
  2. Step 2: Convert to fraction form
    42,648/63,972 = 14,946/x
  3. Step 3: Cross multiply
    42,648x = 63,972 × 14,946
  4. Step 4: Simplify right side
    42,648x = 956,125,512
  5. Step 5: Solve for x
    x = 956,125,512/42,648
  6. Step 6: Final answer
    x = 22,419

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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.