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Finding the Fourth Proportional to 76,475.76, 114,669 and 29,673.96

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Solution

The fourth proportional to 76,475.76, 114,669 and 29,673.96 is: 44,493.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,475.76 : 114,669 = 29,673.96 : x
  2. Step 2: Convert to fraction form
    76,475.76/114,669 = 29,673.96/x
  3. Step 3: Cross multiply
    76,475.76x = 114,669 × 29,673.96
  4. Step 4: Simplify right side
    76,475.76x = 3,402,683,319.24
  5. Step 5: Solve for x
    x = 3,402,683,319.24/76,475.76
  6. Step 6: Final answer
    x = 44,493.62

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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.