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Finding the Fourth Proportional to 105,675.63, 158,534.17 and 39,116.32

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Solution

The fourth proportional to 105,675.63, 158,534.17 and 39,116.32 is: 58,682.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,675.63 : 158,534.17 = 39,116.32 : x
  2. Step 2: Convert to fraction form
    105,675.63/158,534.17 = 39,116.32/x
  3. Step 3: Cross multiply
    105,675.63x = 158,534.17 × 39,116.32
  4. Step 4: Simplify right side
    105,675.63x = 6,201,273,129.07
  5. Step 5: Solve for x
    x = 6,201,273,129.07/105,675.63
  6. Step 6: Final answer
    x = 58,682.15

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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.