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Finding the Fourth Proportional to 51,254, 70,730.52 and 27,702

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Solution

The fourth proportional to 51,254, 70,730.52 and 27,702 is: 38,228.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,254 : 70,730.52 = 27,702 : x
  2. Step 2: Convert to fraction form
    51,254/70,730.52 = 27,702/x
  3. Step 3: Cross multiply
    51,254x = 70,730.52 × 27,702
  4. Step 4: Simplify right side
    51,254x = 1,959,376,865.04
  5. Step 5: Solve for x
    x = 1,959,376,865.04/51,254
  6. Step 6: Final answer
    x = 38,228.76

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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.