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Finding the Fourth Proportional to 42,368, 63,552 and 14,666

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Solution

The fourth proportional to 42,368, 63,552 and 14,666 is: 21,999

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,368 : 63,552 = 14,666 : x
  2. Step 2: Convert to fraction form
    42,368/63,552 = 14,666/x
  3. Step 3: Cross multiply
    42,368x = 63,552 × 14,666
  4. Step 4: Simplify right side
    42,368x = 932,053,632
  5. Step 5: Solve for x
    x = 932,053,632/42,368
  6. Step 6: Final answer
    x = 21,999

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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.