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Finding the Fourth Proportional to 76,900.42, 115,351.59 and 24,314.50

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Solution

The fourth proportional to 76,900.42, 115,351.59 and 24,314.50 is: 36,472.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,900.42 : 115,351.59 = 24,314.50 : x
  2. Step 2: Convert to fraction form
    76,900.42/115,351.59 = 24,314.50/x
  3. Step 3: Cross multiply
    76,900.42x = 115,351.59 × 24,314.50
  4. Step 4: Simplify right side
    76,900.42x = 2,804,716,235.06
  5. Step 5: Solve for x
    x = 2,804,716,235.06/76,900.42
  6. Step 6: Final answer
    x = 36,472.05

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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.