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Finding the Fourth Proportional to 31,262.92, 46,899.02 and 9,076.48

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Solution

The fourth proportional to 31,262.92, 46,899.02 and 9,076.48 is: 13,616.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,262.92 : 46,899.02 = 9,076.48 : x
  2. Step 2: Convert to fraction form
    31,262.92/46,899.02 = 9,076.48/x
  3. Step 3: Cross multiply
    31,262.92x = 46,899.02 × 9,076.48
  4. Step 4: Simplify right side
    31,262.92x = 425,678,017.05
  5. Step 5: Solve for x
    x = 425,678,017.05/31,262.92
  6. Step 6: Final answer
    x = 13,616.07

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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.