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Finding the Fourth Proportional to 46,511.68, 64,165.12 and 31,399.68

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Solution

The fourth proportional to 46,511.68, 64,165.12 and 31,399.68 is: 43,317.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,511.68 : 64,165.12 = 31,399.68 : x
  2. Step 2: Convert to fraction form
    46,511.68/64,165.12 = 31,399.68/x
  3. Step 3: Cross multiply
    46,511.68x = 64,165.12 × 31,399.68
  4. Step 4: Simplify right side
    46,511.68x = 2,014,764,235.16
  5. Step 5: Solve for x
    x = 2,014,764,235.16/46,511.68
  6. Step 6: Final answer
    x = 43,317.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.