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Finding the Fourth Proportional to 76,436.69, 114,538.13 and 32,039.24

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Solution

The fourth proportional to 76,436.69, 114,538.13 and 32,039.24 is: 48,009.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,436.69 : 114,538.13 = 32,039.24 : x
  2. Step 2: Convert to fraction form
    76,436.69/114,538.13 = 32,039.24/x
  3. Step 3: Cross multiply
    76,436.69x = 114,538.13 × 32,039.24
  4. Step 4: Simplify right side
    76,436.69x = 3,669,714,143.63
  5. Step 5: Solve for x
    x = 3,669,714,143.63/76,436.69
  6. Step 6: Final answer
    x = 48,009.85

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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.