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Finding the Fourth Proportional to 31,001.88, 46,509.36 and 16,206.84

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Solution

The fourth proportional to 31,001.88, 46,509.36 and 16,206.84 is: 24,313.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,001.88 : 46,509.36 = 16,206.84 : x
  2. Step 2: Convert to fraction form
    31,001.88/46,509.36 = 16,206.84/x
  3. Step 3: Cross multiply
    31,001.88x = 46,509.36 × 16,206.84
  4. Step 4: Simplify right side
    31,001.88x = 753,769,756.02
  5. Step 5: Solve for x
    x = 753,769,756.02/31,001.88
  6. Step 6: Final answer
    x = 24,313.68

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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.