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Finding the Fourth Proportional to 34,600.50, 51,895.49 and 9,637.92

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Solution

The fourth proportional to 34,600.50, 51,895.49 and 9,637.92 is: 14,455.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,600.50 : 51,895.49 = 9,637.92 : x
  2. Step 2: Convert to fraction form
    34,600.50/51,895.49 = 9,637.92/x
  3. Step 3: Cross multiply
    34,600.50x = 51,895.49 × 9,637.92
  4. Step 4: Simplify right side
    34,600.50x = 500,164,532.79
  5. Step 5: Solve for x
    x = 500,164,532.79/34,600.50
  6. Step 6: Final answer
    x = 14,455.41

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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.