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Finding the Fourth Proportional to 31,820.40, 47,738.32 and 9,632.52

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Solution

The fourth proportional to 31,820.40, 47,738.32 and 9,632.52 is: 14,451.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,820.40 : 47,738.32 = 9,632.52 : x
  2. Step 2: Convert to fraction form
    31,820.40/47,738.32 = 9,632.52/x
  3. Step 3: Cross multiply
    31,820.40x = 47,738.32 × 9,632.52
  4. Step 4: Simplify right side
    31,820.40x = 459,840,322.17
  5. Step 5: Solve for x
    x = 459,840,322.17/31,820.40
  6. Step 6: Final answer
    x = 14,451.12

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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.