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Finding the Fourth Proportional to 31,502.09, 43,474.85 and 17,354.93

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Solution

The fourth proportional to 31,502.09, 43,474.85 and 17,354.93 is: 23,950.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,502.09 : 43,474.85 = 17,354.93 : x
  2. Step 2: Convert to fraction form
    31,502.09/43,474.85 = 17,354.93/x
  3. Step 3: Cross multiply
    31,502.09x = 43,474.85 × 17,354.93
  4. Step 4: Simplify right side
    31,502.09x = 754,502,978.51
  5. Step 5: Solve for x
    x = 754,502,978.51/31,502.09
  6. Step 6: Final answer
    x = 23,950.89

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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.