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Finding the Fourth Proportional to 105,677.86, 158,534.61 and 35,540.50

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Solution

The fourth proportional to 105,677.86, 158,534.61 and 35,540.50 is: 53,316.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,677.86 : 158,534.61 = 35,540.50 : x
  2. Step 2: Convert to fraction form
    105,677.86/158,534.61 = 35,540.50/x
  3. Step 3: Cross multiply
    105,677.86x = 158,534.61 × 35,540.50
  4. Step 4: Simplify right side
    105,677.86x = 5,634,399,306.71
  5. Step 5: Solve for x
    x = 5,634,399,306.71/105,677.86
  6. Step 6: Final answer
    x = 53,316.74

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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.