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Finding the Fourth Proportional to 31,217.70, 46,830.60 and 15,430.80

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Solution

The fourth proportional to 31,217.70, 46,830.60 and 15,430.80 is: 23,148.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,217.70 : 46,830.60 = 15,430.80 : x
  2. Step 2: Convert to fraction form
    31,217.70/46,830.60 = 15,430.80/x
  3. Step 3: Cross multiply
    31,217.70x = 46,830.60 × 15,430.80
  4. Step 4: Simplify right side
    31,217.70x = 722,633,622.48
  5. Step 5: Solve for x
    x = 722,633,622.48/31,217.70
  6. Step 6: Final answer
    x = 23,148.20

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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.