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Finding the Fourth Proportional to 31,595.40, 47,411.46 and 19,140.30

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Solution

The fourth proportional to 31,595.40, 47,411.46 and 19,140.30 is: 28,721.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,595.40 : 47,411.46 = 19,140.30 : x
  2. Step 2: Convert to fraction form
    31,595.40/47,411.46 = 19,140.30/x
  3. Step 3: Cross multiply
    31,595.40x = 47,411.46 × 19,140.30
  4. Step 4: Simplify right side
    31,595.40x = 907,469,567.84
  5. Step 5: Solve for x
    x = 907,469,567.84/31,595.40
  6. Step 6: Final answer
    x = 28,721.57

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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.