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Finding the Fourth Proportional to 97,507.88, 146,261.84 and 23,635.88

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Solution

The fourth proportional to 97,507.88, 146,261.84 and 23,635.88 is: 35,453.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,507.88 : 146,261.84 = 23,635.88 : x
  2. Step 2: Convert to fraction form
    97,507.88/146,261.84 = 23,635.88/x
  3. Step 3: Cross multiply
    97,507.88x = 146,261.84 × 23,635.88
  4. Step 4: Simplify right side
    97,507.88x = 3,457,027,298.82
  5. Step 5: Solve for x
    x = 3,457,027,298.82/97,507.88
  6. Step 6: Final answer
    x = 35,453.82

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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.