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Finding the Fourth Proportional to 76,532.66, 114,798.83 and 21,128.50

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Solution

The fourth proportional to 76,532.66, 114,798.83 and 21,128.50 is: 31,692.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,532.66 : 114,798.83 = 21,128.50 : x
  2. Step 2: Convert to fraction form
    76,532.66/114,798.83 = 21,128.50/x
  3. Step 3: Cross multiply
    76,532.66x = 114,798.83 × 21,128.50
  4. Step 4: Simplify right side
    76,532.66x = 2,425,527,079.66
  5. Step 5: Solve for x
    x = 2,425,527,079.66/76,532.66
  6. Step 6: Final answer
    x = 31,692.71

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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.