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Finding the Fourth Proportional to 97,462.50, 146,194.02 and 23,590.50

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Solution

The fourth proportional to 97,462.50, 146,194.02 and 23,590.50 is: 35,385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,462.50 : 146,194.02 = 23,590.50 : x
  2. Step 2: Convert to fraction form
    97,462.50/146,194.02 = 23,590.50/x
  3. Step 3: Cross multiply
    97,462.50x = 146,194.02 × 23,590.50
  4. Step 4: Simplify right side
    97,462.50x = 3,448,790,028.81
  5. Step 5: Solve for x
    x = 3,448,790,028.81/97,462.50
  6. Step 6: Final answer
    x = 35,385.82

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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.