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Finding the Fourth Proportional to 96,518.37, 144,795.77 and 36,564.78

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Solution

The fourth proportional to 96,518.37, 144,795.77 and 36,564.78 is: 54,854.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,518.37 : 144,795.77 = 36,564.78 : x
  2. Step 2: Convert to fraction form
    96,518.37/144,795.77 = 36,564.78/x
  3. Step 3: Cross multiply
    96,518.37x = 144,795.77 × 36,564.78
  4. Step 4: Simplify right side
    96,518.37x = 5,294,425,292.16
  5. Step 5: Solve for x
    x = 5,294,425,292.16/96,518.37
  6. Step 6: Final answer
    x = 54,854.07

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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.