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Finding the Fourth Proportional to 46,398.99, 64,083.06 and 31,265.38

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Solution

The fourth proportional to 46,398.99, 64,083.06 and 31,265.38 is: 43,181.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,398.99 : 64,083.06 = 31,265.38 : x
  2. Step 2: Convert to fraction form
    46,398.99/64,083.06 = 31,265.38/x
  3. Step 3: Cross multiply
    46,398.99x = 64,083.06 × 31,265.38
  4. Step 4: Simplify right side
    46,398.99x = 2,003,581,222.46
  5. Step 5: Solve for x
    x = 2,003,581,222.46/46,398.99
  6. Step 6: Final answer
    x = 43,181.57

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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.