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Finding the Fourth Proportional to 51,264, 70,744.32 and 27,712

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Solution

The fourth proportional to 51,264, 70,744.32 and 27,712 is: 38,242.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,264 : 70,744.32 = 27,712 : x
  2. Step 2: Convert to fraction form
    51,264/70,744.32 = 27,712/x
  3. Step 3: Cross multiply
    51,264x = 70,744.32 × 27,712
  4. Step 4: Simplify right side
    51,264x = 1,960,466,595.84
  5. Step 5: Solve for x
    x = 1,960,466,595.84/51,264
  6. Step 6: Final answer
    x = 38,242.56

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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.