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Finding the Fourth Proportional to 31,157.40, 46,730.70 and 11,425.80

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Solution

The fourth proportional to 31,157.40, 46,730.70 and 11,425.80 is: 17,136.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,157.40 : 46,730.70 = 11,425.80 : x
  2. Step 2: Convert to fraction form
    31,157.40/46,730.70 = 11,425.80/x
  3. Step 3: Cross multiply
    31,157.40x = 46,730.70 × 11,425.80
  4. Step 4: Simplify right side
    31,157.40x = 533,935,632.06
  5. Step 5: Solve for x
    x = 533,935,632.06/31,157.40
  6. Step 6: Final answer
    x = 17,136.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.