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Finding the Fourth Proportional to 64,506.11, 96,775.83 and 24,525.86

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Solution

The fourth proportional to 64,506.11, 96,775.83 and 24,525.86 is: 36,795.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,506.11 : 96,775.83 = 24,525.86 : x
  2. Step 2: Convert to fraction form
    64,506.11/96,775.83 = 24,525.86/x
  3. Step 3: Cross multiply
    64,506.11x = 96,775.83 × 24,525.86
  4. Step 4: Simplify right side
    64,506.11x = 2,373,509,974.08
  5. Step 5: Solve for x
    x = 2,373,509,974.08/64,506.11
  6. Step 6: Final answer
    x = 36,795.12

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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.