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Finding the Fourth Proportional to 106,290.40, 159,435.06 and 39,713.32

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Solution

The fourth proportional to 106,290.40, 159,435.06 and 39,713.32 is: 59,569.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,290.40 : 159,435.06 = 39,713.32 : x
  2. Step 2: Convert to fraction form
    106,290.40/159,435.06 = 39,713.32/x
  3. Step 3: Cross multiply
    106,290.40x = 159,435.06 × 39,713.32
  4. Step 4: Simplify right side
    106,290.40x = 6,331,695,557.00
  5. Step 5: Solve for x
    x = 6,331,695,557.00/106,290.40
  6. Step 6: Final answer
    x = 59,569.78

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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.