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Finding the Fourth Proportional to 31,630.40, 47,445.60 and 30,420.80

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Solution

The fourth proportional to 31,630.40, 47,445.60 and 30,420.80 is: 45,631.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,630.40 : 47,445.60 = 30,420.80 : x
  2. Step 2: Convert to fraction form
    31,630.40/47,445.60 = 30,420.80/x
  3. Step 3: Cross multiply
    31,630.40x = 47,445.60 × 30,420.80
  4. Step 4: Simplify right side
    31,630.40x = 1,443,333,108.48
  5. Step 5: Solve for x
    x = 1,443,333,108.48/31,630.40
  6. Step 6: Final answer
    x = 45,631.20

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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.