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Finding the Fourth Proportional to 31,325.80, 46,983.69 and 9,133.99

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Solution

The fourth proportional to 31,325.80, 46,983.69 and 9,133.99 is: 13,699.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,325.80 : 46,983.69 = 9,133.99 : x
  2. Step 2: Convert to fraction form
    31,325.80/46,983.69 = 9,133.99/x
  3. Step 3: Cross multiply
    31,325.80x = 46,983.69 × 9,133.99
  4. Step 4: Simplify right side
    31,325.80x = 429,148,554.62
  5. Step 5: Solve for x
    x = 429,148,554.62/31,325.80
  6. Step 6: Final answer
    x = 13,699.52

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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.