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Finding the Fourth Proportional to 31,022.16, 46,526.34 and 8,835.12

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Solution

The fourth proportional to 31,022.16, 46,526.34 and 8,835.12 is: 13,250.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,022.16 : 46,526.34 = 8,835.12 : x
  2. Step 2: Convert to fraction form
    31,022.16/46,526.34 = 8,835.12/x
  3. Step 3: Cross multiply
    31,022.16x = 46,526.34 × 8,835.12
  4. Step 4: Simplify right side
    31,022.16x = 411,065,797.06
  5. Step 5: Solve for x
    x = 411,065,797.06/31,022.16
  6. Step 6: Final answer
    x = 13,250.71

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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.