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Finding the Fourth Proportional to 65,156.76, 97,752.60 and 27,718.56

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Solution

The fourth proportional to 65,156.76, 97,752.60 and 27,718.56 is: 41,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,156.76 : 97,752.60 = 27,718.56 : x
  2. Step 2: Convert to fraction form
    65,156.76/97,752.60 = 27,718.56/x
  3. Step 3: Cross multiply
    65,156.76x = 97,752.60 × 27,718.56
  4. Step 4: Simplify right side
    65,156.76x = 2,709,561,308.26
  5. Step 5: Solve for x
    x = 2,709,561,308.26/65,156.76
  6. Step 6: Final answer
    x = 41,585.27

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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.