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Finding the Fourth Proportional to 195,016, 292,524 and 47,272

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Solution

The fourth proportional to 195,016, 292,524 and 47,272 is: 70,908

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,016 : 292,524 = 47,272 : x
  2. Step 2: Convert to fraction form
    195,016/292,524 = 47,272/x
  3. Step 3: Cross multiply
    195,016x = 292,524 × 47,272
  4. Step 4: Simplify right side
    195,016x = 13,828,194,528
  5. Step 5: Solve for x
    x = 13,828,194,528/195,016
  6. Step 6: Final answer
    x = 70,908

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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.