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Finding the Fourth Proportional to 46,441.69, 64,109.16 and 31,354.79

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Solution

The fourth proportional to 46,441.69, 64,109.16 and 31,354.79 is: 43,282.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,441.69 : 64,109.16 = 31,354.79 : x
  2. Step 2: Convert to fraction form
    46,441.69/64,109.16 = 31,354.79/x
  3. Step 3: Cross multiply
    46,441.69x = 64,109.16 × 31,354.79
  4. Step 4: Simplify right side
    46,441.69x = 2,010,129,092.10
  5. Step 5: Solve for x
    x = 2,010,129,092.10/46,441.69
  6. Step 6: Final answer
    x = 43,282.86

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