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Finding the Fourth Proportional to 65,174.82, 97,742.76 and 25,186.74

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Solution

The fourth proportional to 65,174.82, 97,742.76 and 25,186.74 is: 37,772.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,174.82 : 97,742.76 = 25,186.74 : x
  2. Step 2: Convert to fraction form
    65,174.82/97,742.76 = 25,186.74/x
  3. Step 3: Cross multiply
    65,174.82x = 97,742.76 × 25,186.74
  4. Step 4: Simplify right side
    65,174.82x = 2,461,821,483.00
  5. Step 5: Solve for x
    x = 2,461,821,483.00/65,174.82
  6. Step 6: Final answer
    x = 37,772.59

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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.