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Finding the Fourth Proportional to 47,798.50, 65,959.37 and 27,655.71

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Solution

The fourth proportional to 47,798.50, 65,959.37 and 27,655.71 is: 38,163.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,798.50 : 65,959.37 = 27,655.71 : x
  2. Step 2: Convert to fraction form
    47,798.50/65,959.37 = 27,655.71/x
  3. Step 3: Cross multiply
    47,798.50x = 65,959.37 × 27,655.71
  4. Step 4: Simplify right side
    47,798.50x = 1,824,153,070.22
  5. Step 5: Solve for x
    x = 1,824,153,070.22/47,798.50
  6. Step 6: Final answer
    x = 38,163.40

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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.