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Finding the Fourth Proportional to 97,390.56, 146,085.84 and 23,518.56

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Solution

The fourth proportional to 97,390.56, 146,085.84 and 23,518.56 is: 35,277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,390.56 : 146,085.84 = 23,518.56 : x
  2. Step 2: Convert to fraction form
    97,390.56/146,085.84 = 23,518.56/x
  3. Step 3: Cross multiply
    97,390.56x = 146,085.84 × 23,518.56
  4. Step 4: Simplify right side
    97,390.56x = 3,435,728,593.19
  5. Step 5: Solve for x
    x = 3,435,728,593.19/97,390.56
  6. Step 6: Final answer
    x = 35,277.84

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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.