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Finding the Fourth Proportional to 76,284, 114,452.88 and 34,160.64

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Solution

The fourth proportional to 76,284, 114,452.88 and 34,160.64 is: 51,253.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,284 : 114,452.88 = 34,160.64 : x
  2. Step 2: Convert to fraction form
    76,284/114,452.88 = 34,160.64/x
  3. Step 3: Cross multiply
    76,284x = 114,452.88 × 34,160.64
  4. Step 4: Simplify right side
    76,284x = 3,909,783,630.64
  5. Step 5: Solve for x
    x = 3,909,783,630.64/76,284
  6. Step 6: Final answer
    x = 51,253.00

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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.