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Finding the Fourth Proportional to 31,005.40, 46,527.90 and 11,282.20

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Solution

The fourth proportional to 31,005.40, 46,527.90 and 11,282.20 is: 16,930.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,005.40 : 46,527.90 = 11,282.20 : x
  2. Step 2: Convert to fraction form
    31,005.40/46,527.90 = 11,282.20/x
  3. Step 3: Cross multiply
    31,005.40x = 46,527.90 × 11,282.20
  4. Step 4: Simplify right side
    31,005.40x = 524,937,073.38
  5. Step 5: Solve for x
    x = 524,937,073.38/31,005.40
  6. Step 6: Final answer
    x = 16,930.50

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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.