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Finding the Fourth Proportional to 82,878.42, 114,372.30 and 45,152.67

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Solution

The fourth proportional to 82,878.42, 114,372.30 and 45,152.67 is: 62,310.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,878.42 : 114,372.30 = 45,152.67 : x
  2. Step 2: Convert to fraction form
    82,878.42/114,372.30 = 45,152.67/x
  3. Step 3: Cross multiply
    82,878.42x = 114,372.30 × 45,152.67
  4. Step 4: Simplify right side
    82,878.42x = 5,164,214,719.04
  5. Step 5: Solve for x
    x = 5,164,214,719.04/82,878.42
  6. Step 6: Final answer
    x = 62,310.73

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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.