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Finding the Fourth Proportional to 105,677.58, 158,470.29 and 39,967.50

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Solution

The fourth proportional to 105,677.58, 158,470.29 and 39,967.50 is: 59,933.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,677.58 : 158,470.29 = 39,967.50 : x
  2. Step 2: Convert to fraction form
    105,677.58/158,470.29 = 39,967.50/x
  3. Step 3: Cross multiply
    105,677.58x = 158,470.29 × 39,967.50
  4. Step 4: Simplify right side
    105,677.58x = 6,333,661,315.58
  5. Step 5: Solve for x
    x = 6,333,661,315.58/105,677.58
  6. Step 6: Final answer
    x = 59,933.82

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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.