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Finding the Fourth Proportional to 31,931.37, 47,904.50 and 9,744.70

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Solution

The fourth proportional to 31,931.37, 47,904.50 and 9,744.70 is: 14,619.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,931.37 : 47,904.50 = 9,744.70 : x
  2. Step 2: Convert to fraction form
    31,931.37/47,904.50 = 9,744.70/x
  3. Step 3: Cross multiply
    31,931.37x = 47,904.50 × 9,744.70
  4. Step 4: Simplify right side
    31,931.37x = 466,814,981.15
  5. Step 5: Solve for x
    x = 466,814,981.15/31,931.37
  6. Step 6: Final answer
    x = 14,619.32

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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.