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Finding the Fourth Proportional to 31,100.94, 46,658.97 and 10,041.48

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Solution

The fourth proportional to 31,100.94, 46,658.97 and 10,041.48 is: 15,064.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,100.94 : 46,658.97 = 10,041.48 : x
  2. Step 2: Convert to fraction form
    31,100.94/46,658.97 = 10,041.48/x
  3. Step 3: Cross multiply
    31,100.94x = 46,658.97 × 10,041.48
  4. Step 4: Simplify right side
    31,100.94x = 468,525,114.08
  5. Step 5: Solve for x
    x = 468,525,114.08/31,100.94
  6. Step 6: Final answer
    x = 15,064.66

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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.