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Finding the Fourth Proportional to 31,064.94, 46,578.36 and 15,249.90

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Solution

The fourth proportional to 31,064.94, 46,578.36 and 15,249.90 is: 22,865.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,064.94 : 46,578.36 = 15,249.90 : x
  2. Step 2: Convert to fraction form
    31,064.94/46,578.36 = 15,249.90/x
  3. Step 3: Cross multiply
    31,064.94x = 46,578.36 × 15,249.90
  4. Step 4: Simplify right side
    31,064.94x = 710,315,332.16
  5. Step 5: Solve for x
    x = 710,315,332.16/31,064.94
  6. Step 6: Final answer
    x = 22,865.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.