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Finding the Fourth Proportional to 31,322.70, 46,986.39 and 9,136.26

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Solution

The fourth proportional to 31,322.70, 46,986.39 and 9,136.26 is: 13,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,322.70 : 46,986.39 = 9,136.26 : x
  2. Step 2: Convert to fraction form
    31,322.70/46,986.39 = 9,136.26/x
  3. Step 3: Cross multiply
    31,322.70x = 46,986.39 × 9,136.26
  4. Step 4: Simplify right side
    31,322.70x = 429,279,875.50
  5. Step 5: Solve for x
    x = 429,279,875.50/31,322.70
  6. Step 6: Final answer
    x = 13,705.07

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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.