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Finding the Fourth Proportional to 100,524.60, 150,779.58 and 40,557

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Solution

The fourth proportional to 100,524.60, 150,779.58 and 40,557 is: 60,832.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,524.60 : 150,779.58 = 40,557 : x
  2. Step 2: Convert to fraction form
    100,524.60/150,779.58 = 40,557/x
  3. Step 3: Cross multiply
    100,524.60x = 150,779.58 × 40,557
  4. Step 4: Simplify right side
    100,524.60x = 6,115,167,426.06
  5. Step 5: Solve for x
    x = 6,115,167,426.06/100,524.60
  6. Step 6: Final answer
    x = 60,832.55

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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.