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Finding the Fourth Proportional to 31,509.60, 47,264.40 and 25,604.70

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Solution

The fourth proportional to 31,509.60, 47,264.40 and 25,604.70 is: 38,407.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,509.60 : 47,264.40 = 25,604.70 : x
  2. Step 2: Convert to fraction form
    31,509.60/47,264.40 = 25,604.70/x
  3. Step 3: Cross multiply
    31,509.60x = 47,264.40 × 25,604.70
  4. Step 4: Simplify right side
    31,509.60x = 1,210,190,782.68
  5. Step 5: Solve for x
    x = 1,210,190,782.68/31,509.60
  6. Step 6: Final answer
    x = 38,407.05

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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.