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Finding the Fourth Proportional to 64,468.49, 96,647.72 and 24,465.11

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Solution

The fourth proportional to 64,468.49, 96,647.72 and 24,465.11 is: 36,676.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,468.49 : 96,647.72 = 24,465.11 : x
  2. Step 2: Convert to fraction form
    64,468.49/96,647.72 = 24,465.11/x
  3. Step 3: Cross multiply
    64,468.49x = 96,647.72 × 24,465.11
  4. Step 4: Simplify right side
    64,468.49x = 2,364,496,495.49
  5. Step 5: Solve for x
    x = 2,364,496,495.49/64,468.49
  6. Step 6: Final answer
    x = 36,676.78

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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.