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Finding the Fourth Proportional to 31,271.04, 46,913.58 and 10,494

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Solution

The fourth proportional to 31,271.04, 46,913.58 and 10,494 is: 15,743.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,271.04 : 46,913.58 = 10,494 : x
  2. Step 2: Convert to fraction form
    31,271.04/46,913.58 = 10,494/x
  3. Step 3: Cross multiply
    31,271.04x = 46,913.58 × 10,494
  4. Step 4: Simplify right side
    31,271.04x = 492,311,108.52
  5. Step 5: Solve for x
    x = 492,311,108.52/31,271.04
  6. Step 6: Final answer
    x = 15,743.36

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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.