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Finding the Fourth Proportional to 195,028, 292,542 and 47,284

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Solution

The fourth proportional to 195,028, 292,542 and 47,284 is: 70,926

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,028 : 292,542 = 47,284 : x
  2. Step 2: Convert to fraction form
    195,028/292,542 = 47,284/x
  3. Step 3: Cross multiply
    195,028x = 292,542 × 47,284
  4. Step 4: Simplify right side
    195,028x = 13,832,555,928
  5. Step 5: Solve for x
    x = 13,832,555,928/195,028
  6. Step 6: Final answer
    x = 70,926

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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.