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Finding the Fourth Proportional to 105,759.28, 158,653.50 and 35,658.64

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Solution

The fourth proportional to 105,759.28, 158,653.50 and 35,658.64 is: 53,492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,759.28 : 158,653.50 = 35,658.64 : x
  2. Step 2: Convert to fraction form
    105,759.28/158,653.50 = 35,658.64/x
  3. Step 3: Cross multiply
    105,759.28x = 158,653.50 × 35,658.64
  4. Step 4: Simplify right side
    105,759.28x = 5,657,368,041.24
  5. Step 5: Solve for x
    x = 5,657,368,041.24/105,759.28
  6. Step 6: Final answer
    x = 53,492.88

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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.