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Finding the Fourth Proportional to 31,292.37, 46,938.13 and 7,600.10

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Solution

The fourth proportional to 31,292.37, 46,938.13 and 7,600.10 is: 11,400.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,292.37 : 46,938.13 = 7,600.10 : x
  2. Step 2: Convert to fraction form
    31,292.37/46,938.13 = 7,600.10/x
  3. Step 3: Cross multiply
    31,292.37x = 46,938.13 × 7,600.10
  4. Step 4: Simplify right side
    31,292.37x = 356,734,228.12
  5. Step 5: Solve for x
    x = 356,734,228.12/31,292.37
  6. Step 6: Final answer
    x = 11,400.04

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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.