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Finding the Fourth Proportional to 64,507.26, 96,658.83 and 49,752.30

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Solution

The fourth proportional to 64,507.26, 96,658.83 and 49,752.30 is: 74,549.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,507.26 : 96,658.83 = 49,752.30 : x
  2. Step 2: Convert to fraction form
    64,507.26/96,658.83 = 49,752.30/x
  3. Step 3: Cross multiply
    64,507.26x = 96,658.83 × 49,752.30
  4. Step 4: Simplify right side
    64,507.26x = 4,808,999,107.81
  5. Step 5: Solve for x
    x = 4,808,999,107.81/64,507.26
  6. Step 6: Final answer
    x = 74,549.73

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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.