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Finding the Fourth Proportional to 65,174.44, 97,798.62 and 35,188.28

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Solution

The fourth proportional to 65,174.44, 97,798.62 and 35,188.28 is: 52,802.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,174.44 : 97,798.62 = 35,188.28 : x
  2. Step 2: Convert to fraction form
    65,174.44/97,798.62 = 35,188.28/x
  3. Step 3: Cross multiply
    65,174.44x = 97,798.62 × 35,188.28
  4. Step 4: Simplify right side
    65,174.44x = 3,441,365,224.17
  5. Step 5: Solve for x
    x = 3,441,365,224.17/65,174.44
  6. Step 6: Final answer
    x = 52,802.38

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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.