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Finding the Fourth Proportional to 31,136, 46,704.41 and 10,359.50

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Solution

The fourth proportional to 31,136, 46,704.41 and 10,359.50 is: 15,539.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,136 : 46,704.41 = 10,359.50 : x
  2. Step 2: Convert to fraction form
    31,136/46,704.41 = 10,359.50/x
  3. Step 3: Cross multiply
    31,136x = 46,704.41 × 10,359.50
  4. Step 4: Simplify right side
    31,136x = 483,834,335.40
  5. Step 5: Solve for x
    x = 483,834,335.40/31,136
  6. Step 6: Final answer
    x = 15,539.39

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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.