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Finding the Fourth Proportional to 31,530.40, 47,295.60 and 26,461.60

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Solution

The fourth proportional to 31,530.40, 47,295.60 and 26,461.60 is: 39,692.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,530.40 : 47,295.60 = 26,461.60 : x
  2. Step 2: Convert to fraction form
    31,530.40/47,295.60 = 26,461.60/x
  3. Step 3: Cross multiply
    31,530.40x = 47,295.60 × 26,461.60
  4. Step 4: Simplify right side
    31,530.40x = 1,251,517,248.96
  5. Step 5: Solve for x
    x = 1,251,517,248.96/31,530.40
  6. Step 6: Final answer
    x = 39,692.40

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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.