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Finding the Fourth Proportional to 82,851.96, 114,350.54 and 48,858.40

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Solution

The fourth proportional to 82,851.96, 114,350.54 and 48,858.40 is: 67,433.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,851.96 : 114,350.54 = 48,858.40 : x
  2. Step 2: Convert to fraction form
    82,851.96/114,350.54 = 48,858.40/x
  3. Step 3: Cross multiply
    82,851.96x = 114,350.54 × 48,858.40
  4. Step 4: Simplify right side
    82,851.96x = 5,586,984,423.54
  5. Step 5: Solve for x
    x = 5,586,984,423.54/82,851.96
  6. Step 6: Final answer
    x = 67,433.34

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1.5x scale

Why These Related Problems?

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