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Finding the Fourth Proportional to 47,522, 65,564.32 and 27,378.35

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Solution

The fourth proportional to 47,522, 65,564.32 and 27,378.35 is: 37,772.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,522 : 65,564.32 = 27,378.35 : x
  2. Step 2: Convert to fraction form
    47,522/65,564.32 = 27,378.35/x
  3. Step 3: Cross multiply
    47,522x = 65,564.32 × 27,378.35
  4. Step 4: Simplify right side
    47,522x = 1,795,042,900.47
  5. Step 5: Solve for x
    x = 1,795,042,900.47/47,522
  6. Step 6: Final answer
    x = 37,772.88

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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.