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Finding the Fourth Proportional to 31,509.60, 47,206.80 and 25,634.40

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Solution

The fourth proportional to 31,509.60, 47,206.80 and 25,634.40 is: 38,404.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.60 : 47,206.80 = 25,634.40 : x
  2. Step 2: Convert to fraction form
    31,509.60/47,206.80 = 25,634.40/x
  3. Step 3: Cross multiply
    31,509.60x = 47,206.80 × 25,634.40
  4. Step 4: Simplify right side
    31,509.60x = 1,210,117,993.92
  5. Step 5: Solve for x
    x = 1,210,117,993.92/31,509.60
  6. Step 6: Final answer
    x = 38,404.74

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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.