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Finding the Fourth Proportional to 97,278.56, 145,917.84 and 23,406.56

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Solution

The fourth proportional to 97,278.56, 145,917.84 and 23,406.56 is: 35,109.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,278.56 : 145,917.84 = 23,406.56 : x
  2. Step 2: Convert to fraction form
    97,278.56/145,917.84 = 23,406.56/x
  3. Step 3: Cross multiply
    97,278.56x = 145,917.84 × 23,406.56
  4. Step 4: Simplify right side
    97,278.56x = 3,415,434,677.03
  5. Step 5: Solve for x
    x = 3,415,434,677.03/97,278.56
  6. Step 6: Final answer
    x = 35,109.84

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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.