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Finding the Fourth Proportional to 82,765.84, 114,199.52 and 54,127.48

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Solution

The fourth proportional to 82,765.84, 114,199.52 and 54,127.48 is: 74,684.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,765.84 : 114,199.52 = 54,127.48 : x
  2. Step 2: Convert to fraction form
    82,765.84/114,199.52 = 54,127.48/x
  3. Step 3: Cross multiply
    82,765.84x = 114,199.52 × 54,127.48
  4. Step 4: Simplify right side
    82,765.84x = 6,181,332,234.81
  5. Step 5: Solve for x
    x = 6,181,332,234.81/82,765.84
  6. Step 6: Final answer
    x = 74,684.58

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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.