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Finding the Fourth Proportional to 47,419.84, 65,452 and 27,278.88

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Solution

The fourth proportional to 47,419.84, 65,452 and 27,278.88 is: 37,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,419.84 : 65,452 = 27,278.88 : x
  2. Step 2: Convert to fraction form
    47,419.84/65,452 = 27,278.88/x
  3. Step 3: Cross multiply
    47,419.84x = 65,452 × 27,278.88
  4. Step 4: Simplify right side
    47,419.84x = 1,785,457,253.76
  5. Step 5: Solve for x
    x = 1,785,457,253.76/47,419.84
  6. Step 6: Final answer
    x = 37,652.11

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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.