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Finding the Fourth Proportional to 31,704.60, 47,499.30 and 25,829.40

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Solution

The fourth proportional to 31,704.60, 47,499.30 and 25,829.40 is: 38,697.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,704.60 : 47,499.30 = 25,829.40 : x
  2. Step 2: Convert to fraction form
    31,704.60/47,499.30 = 25,829.40/x
  3. Step 3: Cross multiply
    31,704.60x = 47,499.30 × 25,829.40
  4. Step 4: Simplify right side
    31,704.60x = 1,226,878,419.42
  5. Step 5: Solve for x
    x = 1,226,878,419.42/31,704.60
  6. Step 6: Final answer
    x = 38,697.17

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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.