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Finding the Fourth Proportional to 31,025.12, 46,538.16 and 7,651.58

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Solution

The fourth proportional to 31,025.12, 46,538.16 and 7,651.58 is: 11,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,025.12 : 46,538.16 = 7,651.58 : x
  2. Step 2: Convert to fraction form
    31,025.12/46,538.16 = 7,651.58/x
  3. Step 3: Cross multiply
    31,025.12x = 46,538.16 × 7,651.58
  4. Step 4: Simplify right side
    31,025.12x = 356,090,454.29
  5. Step 5: Solve for x
    x = 356,090,454.29/31,025.12
  6. Step 6: Final answer
    x = 11,477.49

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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.