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Finding the Fourth Proportional to 47,655.05, 65,762.70 and 27,511.25

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Solution

The fourth proportional to 47,655.05, 65,762.70 and 27,511.25 is: 37,964.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,655.05 : 65,762.70 = 27,511.25 : x
  2. Step 2: Convert to fraction form
    47,655.05/65,762.70 = 27,511.25/x
  3. Step 3: Cross multiply
    47,655.05x = 65,762.70 × 27,511.25
  4. Step 4: Simplify right side
    47,655.05x = 1,809,214,080.38
  5. Step 5: Solve for x
    x = 1,809,214,080.38/47,655.05
  6. Step 6: Final answer
    x = 37,964.79

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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.