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Finding the Fourth Proportional to 31,804.60, 47,649.30 and 25,929.40

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Solution

The fourth proportional to 31,804.60, 47,649.30 and 25,929.40 is: 38,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.60 : 47,649.30 = 25,929.40 : x
  2. Step 2: Convert to fraction form
    31,804.60/47,649.30 = 25,929.40/x
  3. Step 3: Cross multiply
    31,804.60x = 47,649.30 × 25,929.40
  4. Step 4: Simplify right side
    31,804.60x = 1,235,517,759.42
  5. Step 5: Solve for x
    x = 1,235,517,759.42/31,804.60
  6. Step 6: Final answer
    x = 38,847.14

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Why These Related Problems?

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