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Finding the Fourth Proportional to 65,077.58, 97,640.66 and 25,662.17

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Solution

The fourth proportional to 65,077.58, 97,640.66 and 25,662.17 is: 38,502.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,077.58 : 97,640.66 = 25,662.17 : x
  2. Step 2: Convert to fraction form
    65,077.58/97,640.66 = 25,662.17/x
  3. Step 3: Cross multiply
    65,077.58x = 97,640.66 × 25,662.17
  4. Step 4: Simplify right side
    65,077.58x = 2,505,671,215.83
  5. Step 5: Solve for x
    x = 2,505,671,215.83/65,077.58
  6. Step 6: Final answer
    x = 38,502.83

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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.