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Finding the Fourth Proportional to 109,687, 164,530.53 and 39,566.31

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Solution

The fourth proportional to 109,687, 164,530.53 and 39,566.31 is: 59,349.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,687 : 164,530.53 = 39,566.31 : x
  2. Step 2: Convert to fraction form
    109,687/164,530.53 = 39,566.31/x
  3. Step 3: Cross multiply
    109,687x = 164,530.53 × 39,566.31
  4. Step 4: Simplify right side
    109,687x = 6,509,865,954.44
  5. Step 5: Solve for x
    x = 6,509,865,954.44/109,687
  6. Step 6: Final answer
    x = 59,349.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.