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Finding the Fourth Proportional to 82,938.52, 114,455.16 and 45,212.80

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Solution

The fourth proportional to 82,938.52, 114,455.16 and 45,212.80 is: 62,393.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,938.52 : 114,455.16 = 45,212.80 : x
  2. Step 2: Convert to fraction form
    82,938.52/114,455.16 = 45,212.80/x
  3. Step 3: Cross multiply
    82,938.52x = 114,455.16 × 45,212.80
  4. Step 4: Simplify right side
    82,938.52x = 5,174,838,258.05
  5. Step 5: Solve for x
    x = 5,174,838,258.05/82,938.52
  6. Step 6: Final answer
    x = 62,393.67

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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.