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Finding the Fourth Proportional to 51,345, 70,856.10 and 27,793

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Solution

The fourth proportional to 51,345, 70,856.10 and 27,793 is: 38,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,345 : 70,856.10 = 27,793 : x
  2. Step 2: Convert to fraction form
    51,345/70,856.10 = 27,793/x
  3. Step 3: Cross multiply
    51,345x = 70,856.10 × 27,793
  4. Step 4: Simplify right side
    51,345x = 1,969,303,587.30
  5. Step 5: Solve for x
    x = 1,969,303,587.30/51,345
  6. Step 6: Final answer
    x = 38,354.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.