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Finding the Fourth Proportional to 65,205.76, 97,752.52 and 27,731.52

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Solution

The fourth proportional to 65,205.76, 97,752.52 and 27,731.52 is: 41,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,205.76 : 97,752.52 = 27,731.52 : x
  2. Step 2: Convert to fraction form
    65,205.76/97,752.52 = 27,731.52/x
  3. Step 3: Cross multiply
    65,205.76x = 97,752.52 × 27,731.52
  4. Step 4: Simplify right side
    65,205.76x = 2,710,825,963.43
  5. Step 5: Solve for x
    x = 2,710,825,963.43/65,205.76
  6. Step 6: Final answer
    x = 41,573.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.