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Finding the Fourth Proportional to 31,501.64, 47,228.71 and 19,018.70

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Solution

The fourth proportional to 31,501.64, 47,228.71 and 19,018.70 is: 28,513.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,501.64 : 47,228.71 = 19,018.70 : x
  2. Step 2: Convert to fraction form
    31,501.64/47,228.71 = 19,018.70/x
  3. Step 3: Cross multiply
    31,501.64x = 47,228.71 × 19,018.70
  4. Step 4: Simplify right side
    31,501.64x = 898,228,571.78
  5. Step 5: Solve for x
    x = 898,228,571.78/31,501.64
  6. Step 6: Final answer
    x = 28,513.71

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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.