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Finding the Fourth Proportional to 64,389.88, 96,564.82 and 31,089.24

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Solution

The fourth proportional to 64,389.88, 96,564.82 and 31,089.24 is: 46,624.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,389.88 : 96,564.82 = 31,089.24 : x
  2. Step 2: Convert to fraction form
    64,389.88/96,564.82 = 31,089.24/x
  3. Step 3: Cross multiply
    64,389.88x = 96,564.82 × 31,089.24
  4. Step 4: Simplify right side
    64,389.88x = 3,002,126,864.54
  5. Step 5: Solve for x
    x = 3,002,126,864.54/64,389.88
  6. Step 6: Final answer
    x = 46,624.20

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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.