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Finding the Fourth Proportional to 105,538.09, 158,308.12 and 26,652.24

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Solution

The fourth proportional to 105,538.09, 158,308.12 and 26,652.24 is: 39,978.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,538.09 : 158,308.12 = 26,652.24 : x
  2. Step 2: Convert to fraction form
    105,538.09/158,308.12 = 26,652.24/x
  3. Step 3: Cross multiply
    105,538.09x = 158,308.12 × 26,652.24
  4. Step 4: Simplify right side
    105,538.09x = 4,219,266,041.50
  5. Step 5: Solve for x
    x = 4,219,266,041.50/105,538.09
  6. Step 6: Final answer
    x = 39,978.61

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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.