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Finding the Fourth Proportional to 51,176.81, 70,624.51 and 29,956.53

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Solution

The fourth proportional to 51,176.81, 70,624.51 and 29,956.53 is: 41,340.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,176.81 : 70,624.51 = 29,956.53 : x
  2. Step 2: Convert to fraction form
    51,176.81/70,624.51 = 29,956.53/x
  3. Step 3: Cross multiply
    51,176.81x = 70,624.51 × 29,956.53
  4. Step 4: Simplify right side
    51,176.81x = 2,115,665,442.50
  5. Step 5: Solve for x
    x = 2,115,665,442.50/51,176.81
  6. Step 6: Final answer
    x = 41,340.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.